Let a, b, and c be positive real numbers. Prove that sqrt(a^2  ab + b^2) + sqrt(a^2  ac + c^2) is greater or equal to sqrt(b^2 + bc + c^2). Under what conditions does equality occur?
44,221 results

Real Analysis (Math)
Prove: [1/sqrt(2)] [sqrt(a) + sqrt(b)] <= sqrt(a + b) <= sqrt(a) + sqrt(b) for all nonnegative real numbers a and b. 
Math:)
A person is on the outer edge of a carousel with a radius of 20 feet that is rotating counterclockwise around a point that is centered at the origin. What is the exact value of the position of the rider after the carousel rotates 5pi/12 radians? a. {5[sqrt(2)sqrt(6)], 5[sqrt(... 
Math Help please!!
Could someone show me how to solve these problems step by step.... I am confused on how to fully break this down to simpliest terms sqrt 3 * sqrt 15= sqrt 6 * sqrt 8 = sqrt 20 * sqrt 5 = since both terms are sqrt , you can combine them. sqrt 3* sqrt 15= sqrt (15*3)= sqrt 45 ... 
Math
How do you find a square root of a number that's not a perfect square? I'm very confused. The book doesn't explain it too well. You can approximate it or simplify it in terms of (products of) square roots of smaller numbers. E.g. consider sqrt[117] The number 177 can be ... 
Trigonometry/Geometry  Inequalities
Let a, b, and c be positive real numbers. Prove that sqrt(a^2  ab + b^2) + sqrt(a^2  ac + c^2) is greater or equal to sqrt(b^2 + bc + c^2). Under what conditions does equality occur? That is, for what values of a, b, and c are the two sides equal? This looks like a geometry... 
algebra,math,help
Use Property 2 to simplify each of the following radical expressions. sqrt (10)/ sqrt(49) My answer: sqrt (10) / (7) THis next one i need help: Use the properties for radicals to simplify each of the following expressions. Assume that all variables represent positive real ... 
Mathematics
sqrt 6 * sqrt 8 also sqrt 7 * sqrt 5 6.92820323 and 5.916079783 So you can see the steps — sqrt 6 * sqrt 8 = sqrt 48 sqrt 7 * sqrt 5 = sqrt 35 I hope this helps a little more. Thanks for asking. 
Math(Roots)
sqrt(24) *I don't really get this stuff.Can somebody please help me? The square root of 24 is 4.898979485566356 I know that..lol,but it says not to use decimals.Here is an example they gave me. Ex.sqrt(18)=sqrt(2*3*3)=3sqrt(2) sqrt[24] = sqrt[4*2*3] = sqrt[4]*sqrt[2]*sqrt[3]= ... 
Algebra
Evaluate sqrt7x (sqrt x7 sqrt7) Show your work. sqrt(7)*sqrt(x)sqrt(7)*7*sqrt(7) sqrt(7*x)7*sqrt(7*7) sqrt(7x)7*sqrt(7^2) x*sqrt 7x49*x ^^^ would this be my final answer? 
Inequality
When I solve the inquality 2x^2  6 < 0, I get x < + or  sqrt(3) So how do I write the solution? Is it (+sqrt(3),sqrt(3)) or (infinity, sqrt(3))? Why? Thanks. So would this work? abs x < ( sqrt 3 ) or  sqrt 3<x<sqrt 3 The answer is given (+sqrt(3),sqrt(3)) ... 
math,algebra,help
Directions are simplify by combining like terms. x radiacal 18 3 radical 8x^2 can someone show me how to do these types of problems. thanks I cant determine the second term. For the first, I think you meant x sqrt(18) which reduces to x sqrt (9*3) or 3x sqrt 3 First remove ... 
math calculus please help!
l = lim as x approaches 0 of x/(the square root of (1+x)  the square root of (1x) decide whether: l=1 or l=0 or l=1 Let me make sure I understand the question. Do we have lim x>0 x/[sqrt(1+x)  sqrt(1x)] ? If so then multiply the expression by [sqrt(1+x) + sqrt(1x)]/[... 
math,correction
the problem reads: evaluate sqrt (4) if possible. my answer: sqrt (4)<0 therefore this is not a real number looks correct you cannot take the square root of a negative number in the real number set. Have you learned the imaginary number i = sqrt(1) ?? if so you can do: ... 
Math/Calculus
Solve the initialvalue problem. Am I using the wrong value for beta here, 2sqrt(2) or am I making a mistake somewhere else? Thanks. y''+4y'+6y=0, y(0)=2, y'(0)=4 r^2+4r+6=0, r=(4 +/ sqrt(164(1)(6))/2 r=2 +/ sqrt(2)*i , alpha = 2, beta = 2(sqrt(2)) y=e^2x*(c1*cos(sqrt(2... 
Calculus
Please look at my work below: Solve the initialvalue problem. y'' + 4y' + 6y = 0 , y(0) = 2 , y'(0) = 4 r^2+4r+6=0, r=(16 +/ Sqrt(4^24(1)(6)))/2(1) r=(16 +/ Sqrt(8)) r=8 +/ Sqrt(2)*i, alpha=8, Beta=Sqrt(2) y(0)=2, e^(8*0)*(c1*cos(0)+c2*sin(0))=c2=2 y'(0)=4, c2=4 y(x)=e^(... 
Math
f(x)= 4x^2 and g(x)= sqrt (x) find the implied domain of fg(x) fg(x)= f(sqrt(x)) fg(x)= 4(sqrt(x))^2 fg(x)=4(sqrt x)(sqrt x) fg(x)=4x domain= (x:x=all real numbers) Am I correct? 
trig2
given real numbers x, a, b with x>= a>= b>= 0, show that sqrt x+b  sqrt xa >= sqrt x+a  sqrt xb 
TRIGONOMETRY
given real numbers x, a, b with x>= a>= b>= 0, show that sqrt x+b  sqrt xa >= sqrt x+a  sqrt xb 
Math sequence
Let {An} be the sequence defined recursively by A1=sqr(2) and A(n+1) = sqr(2+An) for n is bigger and equal to 1. Show that An < 2. What is An? and how do I find it? Thank you for your time. An is the nth number in the sequence, and is defined by the recursion rule A(n+1) = ... 
Calculus
Evaluate the indefinite integral: 8xx^2. I got this but I the homework system says its wrong:sqrt((x8)x)/(2*sqrt(x8)*sqrt(x))*(((sqrt(x8)*(x4)*sqrt(x))32*log(sqrt(x8)+sqrt(x)) 
algebra
am I right? 1. Simplify radical expression sqrt 50 5 sqrt ^2*** 2 sqrt ^5 5 sqrt ^10 5 2. Simplify the radical expression sqrt 56x^2 28x 2x sqrt 14*** 2x sqrt 7 sqrt 14x2 3. Simplify the radical expression. sqrt 490y^5w^6 2 sqrt 135y^2 2y sqrt 135*** 27 sqrt 15y^2 27y sqrt 15 ... 
math;)
Find the unit vector in the direction of u=(3,2). Write your answer as a linear combination of the standard unit vectors i and j. a. u=3[sqrt(13)/13]i+2[sqrt(13)/13]j b. u=3[sqrt(5)/5]i+2[sqrt(5)/5]j c. u=3[sqrt(5)/5]i2[sqrt(5)/5]j d. u=3[sqrt(13)/13]i+2[sqrt(13)/13]j I do... 
math help
15sqrt8x^15/5sqrt2x^4 remember that sqrt(a)/sqrt(b) = sqrt(a/b) simplify the inside. also notice that sqrt(x^11) = sqrt(x^10) * sqrt(x) = x^5 * sqrt(x) 
Calculus check
Given f(x)=x^4(2x^215). On what interval(s) is the graph of f concave upwards? A. (0, sqrt(3)) B. (sqrt(3), 0) C. (sqrt(3), 0) and (0, sqrt(3)) D. (sqrt(3), sqrt(3)) E. (Negative infinity, sqrt(3)) and (sqrt(3), infinity) I got E 
MATH
I need to simply this equation, but I got stuck. h/(4sqrt(16+h)) = y First, I multiplied (4+sqrt(16+h)/(4+sqrt(16+h) to both sides, and I ended up with h(4+sqrt(16+h)/h. Is this correct? (I tried to graph both equations to see if I would get the same graph, but I didn't, ... 
algebra
Simplify: 2 sqrt (3) + 6 sqrt(2)  4 sqrt(3) + sqrt (2) a) 8 sqrt(2)  3 sqrt(3) b) 6 sqrt(2)  8 sqrt(3) c) 5 sqrt(6) d) 7 sqrt(2)  2 sqrt(3) the answer i picked was d 
algebra
Simplify: sqrt (21) (sqrt(7) + sqrt(3)) a) 7 sqrt (3) + 3 sqrt(7) b) 7 sqrt(3) + sqrt (3) c) sqrt (210) d) sqrt (147) + sqrt (63)''. a 
linear algebra check
Use the GramSchmidt process to transform the basis [1 1 1] , [0 1 1] , [2 4 3] for the Euclidean space R3 into an orthonormal basis for R3. (Enter each vector in the form [x1, x2, ...]. Enter your answers as a commaseparated list.) so i went through the process and got [1/... 
algebra
simplify: square root of 5 + square root of 20  square root of 27 + square root of 147. simplify: 6/4square root of 2 sqrt 5 + sqrt 20  sqrt 27 + sqrt 147 = sqrt 5 + sqrt (4*5)  sqrt (3*9) + sqrt (49*3) = 3 sqrt 5  3 sqrt 3 + 7 sqrt 3 = 3 sqrt 5 + 4 sqrt 3 Your second ... 
calculus
prove that d/dx 4x .√(x + √x) = 6x+5 (x)1/2/√(x + √x) solution is d/dx 4x.[x+(x)1/2]1/2 = d/dx 4x.[x+(x)^1/2]^1/2 d/dx 4x.[x+(x)^1/2]^1/2 Product Rule = 4x[1/2(x+(x)^1/2)^1/2 * (1+1/2x^1/2) +[x+(x)^1/2]^1/2*4 d/dx(4 x sqrt(x+sqrt(x))) = (2 (1/(2 sqrt(... 
Surds
Solve in the exact form. (sqrt of 4x+1)+(sqrt of x+1)=2 Someone showed me to do this next: Square both sides..so.. 4x+1+2((sqrt of 4x+1)•(sqrt of x+1))=4 I do not understand where the 2 come from ..and why do we need to multiply the sqrt of 4x+1 and sqrt of x+1 together to ... 
math
how would you simplify this equation: y = (x+3)/[(4sqrt(16+h))] please help me! you have three variables. I am not certain "simplify" is an appropriate term here. ohhhh it was my mistake. I meant: y = h/[(4sqrt(16+h))] y = h/[(4sqrt(16+h))] rationalize the denominator.. y... 
Algebra 2
Operations with Complex Numbers Simplify. 1. sqrt(144) 2. sqrt(64x^4) 3. sqrt(13)*sqrt(26) 4. (2i)(6i)(4i) 5. i13 6. i38 7. (5 – 2i) + (4 + 4i) 8. (3 – 4i) – (1 – 4i) 9. (3 + 4i)(3 – 4i) 10. (6 – 2i)(1 + i) 11. (4i)/(3+i) 12. (10+i)/(4i) 13. (5 + 2i)(6 – ... 
Math
Simplify each expression. All variables represent positive numbers. Sqrt of 75p^3q^2 divide by sqrt of p^5q^4 My answer: 5q sqrt of 3 / p^2q^2 Is this right? 
precal
Find the roots of the function f(x)= x^2+2x+2 Determine f(x) a) (x+1i)(x+1+i) b)(x+1i sqrt of 2)(x+1+i sqrt of 2) c)x1+i)(x1i) d)x1+i sqrt of 2) (x1i sqrt of 2) Please Help! For all of these, use the rule [f(x) + ai]*[(f(x)  ai} = [f(x)]^2 + a^2 where a is a real ... 
algebra
simplify by combining like terms: x sqrt(18)  3 sqrt(8x)sqrd If <sqrt(8x)sqrd> means [sqrt(8x)]^2, then that also equals 8x. So x sqrt(18)  3 sqrt(8x)sqrd = x[sqrt(9*2)3*8] = 3x(sqrt 2 3 
Algebra
Multiplying sq rts sqrt18a^7b times sqrt27a^8b^6 Jake 1214 18 = 9 * 2 then sqrt 18 = 3sqrt2 sqrt a^7 = a^3 * sqrt a 27 = 9 * 3 then sqrt 27 = 3 sqrt3 sqrt a^8 = a^4 sqrt b^6 = b^3 Now just multiply the liketerms together. 3sqrt6 and sqrt2a^4? 
9th grade algebra (completing square)
Can you check the following? A1. (2x + 3)^2 = 25 sqrt(2x + 3)^2 = +sqrt(25) 2x + 3 = + 5 2x + 3 = 5, 2x + 3 = 5 2x = 2, 2x = 8 x = 1, x = 4 {4, 1} A2. x^2 + 14x + 45 = 0 x^2 + 14x + __ = 45 + __ x^2 + 14x + 49 = 45 + 49 (x +7)^2 = 4 sqrt(x+7)^2 = + sqrt(4) x + 7 = + ... 
Math
So I am supposed to solve this without using a calculator: Sqrt[20]/10  Sqrt[10]/Sqrt[32]  Sqrt[0.3125] + Sqrt[3 + 1/5] You can put this into WolframAlpha as is to make it prettier. Answer given is 1/2 * SQRT(5) I really don't know where to start here. I have 5 sqrt rules in... 
Math
Which is the exact value of the expression sqrt 32 sqrt 50 + sqrt 128 2 sqrt 7 7 sqrt 2 22 sqrt 2 2 sqrt 55 
Algebra
Which of these expressions is in simplified form? A. a ^3 sqrt 4  b ^3 sqrt 2 / 2 B. sqrt 1/2x + sqrt 1/2z C. x^2  3x sqrt y / sqrt 3 D. sqrt 125x  x^2 
math,correction
simplify: sqrt ((7)/(100)) my work: 7 = 1sqrt (7) 100= 10 sqrt (1) (1)/(10) sqrt (7) my answer: (sqrt (7))/(10) Your answer is right but your statements: 7 = 1sqrt (7) 100= 10 sqrt (1) make no sense. how can sqrt(7)=7 ? you are saying 2.6457..=7 and 10sqrt(1) = 100 > 10 ... 
algebra
Rationalize the denominator, assume that all expressions under radicals represent postive numbers. sqrt:a  sqrt:b/sqrt:a + sqrt:b 
Algebra
SIMPLIFY: ROOT 0F 7 * ROOT OF 14 SIMPLIFY: ROOT OF 1/5 EVALUATE, IF POSSIBLE: ROOT OF 9/16 (I GOT 3/4 BUT I WAS NOT SURE IF THAT WAS CORRECT OR NOT) SIMPLIFY. ASSUME X REPRESENTS A POSITIVE NUMBER: ROOT OF 45X^4 ROOT 0F 7 * ROOT OF 14 = sqrt 7 * sqrt 7 * sqrt 2 = 7 sqrt 2 ROOT... 
rationalizing
sqrt(18)  sqrt(17) How does this expression equal 1/(sqrt(18) + sqrt(17)) ? How would you change it like that? And why is this good to use when not using a calculator? 
algebra
I asked a question and it was answered by Steve. He had the numbers wrong. The problem should be sqrt of 18 over (sqrt of 8)3. not sqrt of 18 3. I got 2+sqrt of 8. Is it correct? 
Algebra 2: Radicals URGENT!!
Could some kind, saintly soul help me solve this problem? Simplify: 8w sqrt(48w^5)  x^2 sqrt(3xw^2) . . =8w(√16)(√3)(√w^4)(√w)  x^2(√3)(√x)(√w^2) =32w^3(√3w)  wx^2(√3x) not much of a "simplification" really 8w sqrt(16*3w... 
Calculus  Second Order Differential Equations
Posted by COFFEE on Monday, July 9, 2007 at 9:10pm. download mp3 free instrumental remix Solve the initialvalue problem. y'' + 4y' + 6y = 0 , y(0) = 2 , y'(0) = 4 r^2+4r+6=0, r=(16 +/ Sqrt(4^24(1)(6)))/2(1) r=(16 +/ Sqrt(8)) r=8 +/ Sqrt(2)*i, alpha=8, Beta=Sqrt(2) y(0)=2... 
Algebra
1 last square root : Rationalize the denominator 5/sqrt[3]+sqrt[5]= 5*sqrt[3]sqrt[5]/ sqrt[3]sqrt5[5]*sqrt[3]sqrt[5]= 5sqrt[3]5sqrt[5]/sqrt[9]sqrt[15]+sqrt[15] sqrt[25]= 5sqrt[3]5sqrt[5]/16 = 5sqrt[3]5sqrt[5]/ 2 
math
solve 2x^2+3x+8=0 and express the solutions in a+bi form. Let's use the quadratic formula to solve for x and express those solutions in a+bi form. x = [b + or  sqrt(b^2  4ac)]/2a Note: sqrt = square root. a = 2, b = 3, and c = 8 from your problem. Therefore: x = [3 + or  ... 
Math
Find of g(f(x)) when f(x)=sqrt(x+3) and g(x)=(x^2+2)/x. a. g(f(x))=(x^2+2)(sqrt(x+3))/x b. g(f(x))=(x+5)/(sqrt(x+3)) c. g(f(x))=(x^2+6x+11)/(sqrt(x+3)) d. g(f(x))=(sqrt(((x^2+2)/x)+3) Every time I work this problem, I get some crazy answer. Can someone please help me? 
algebra
Simplify 11 sqrt 112. 44 sqrt 7******** 176 sqrt 7 27 sqrt 7 4 sqrt 7 Is this right? and I need to show my work, idk the steps 
ap calculus
Which of the following definite integrals gives the length of y = e^(e^x) between x=0 and x=1? All the answers are preceded by the integral sign from 0 to 1. (a) sqrt[1 + e^(2*(x+e^x))] dx (b) sqrt[1 + e^(4x)] dx (c) sqrt[1 + e^(x+e^x)] dx (d) sqrt[1 + e^(2e^x)] dx (e) sqrt[e... 
Algebra
I have a question if someone could help, please explain it. Given b = 1 and h = 1, what is the equation of the graph if the parent function is y = sqrt (x) Answers: a.y = sqrt(x1) b.y = sqrt (x+1) c.y =  sqrt (x1) d.y = sqrt(x1) I think it is "b" 
algebra
simplify: sqrt (28) a) 4 sqrt (7) b) 7 sqrt (2) c) 2 sqrt (7) d) sqrt (7) c im just making show that they are correct sorry for posting up so many 
Algebra 1
sqrt r  sqrt s/ sqrt r + sqrt s =r sqrt r sqrt rs +sqrt s/ r can someone check this for me please. 
Calculus
show lim x>3 (sqrt(x)) = (sqrt(c)) hint: 0< sqrt(x)sqrt(c)= (xc)/(sqrt(x)+sqrt(c))<(1/(sqrt(c))*xc 
Calculus
show lim x>3 (sqrt(x)) = (sqrt(c)) hint: 0< sqrt(x)sqrt(c)= (xc)/(sqrt(x)+sqrt(c))<(1/(sqrt(c))*xc 
is this correct? math
find the domain of the real valued function; f(x) = sqrt(5  (sqrtx)) my solution: 5  (sqrt x) >=0 (sqrt x) >= 5 (sqrt x) <= 5 x <= 25 (infinity, 25] is this correct? 
Cody
Write the following with rational, positive exponents. a. sqrt of 8 = 8^1/2 b. seventh root of 5^2 = 5^2/7 c. sqrt sqrt 6 = ??? d. fourth root of sqrt of 5^3 = ??? Can someone please check my work and help with "c and d"? Thanks. 
Calculus
In these complex exponential problems, solve for x: 1)e^(i*pi) + 2e^(i*pi/4)=? 2)3+3=3i*sqrt(3)=xe^(i*pi/3) MY attempt: I'm not really sure of what they are asking. For the 1st one I used the e^ix=cos(x)+i*sin(x) and got 1+sqrt(2) +sqrt(2)i 2) I solved for x and fot (3+3i*... 
algebra
Simplify: ( sqrt (2) + sqrt (3) ) ( sqrt (2)  sqrt (3) )? a) 2  2 sqrt (6)  3 b) 1 c) 2 + 2 sqrt (6)  3 d) 5 i just need to know if my answer or right or wrong. i think the answer is b thanks 
Calculus 3
I need help writing the series 4 + 1/5 + .3 + 1/(3 + sqrt 2) + 1/(9+ sqrt 3) + 1/(27 + sqrt 4) + 1/(81 + sqrt 5 .... I have played with using irrational numbers, natural log and a vast variety of exponential arrangements. Any help to get me going in the right direction would ... 
Math
How would I do: sqrt32a^8b + sqrt50a^16b Are the exponents 8b and 16b or 8 and 16? I'll assume they are 8a and 16a sqrt 32 = sqrt (16*2) = 4 sqrt 2 sqrt 50 = sqrt (25*2) = 5 sqrt 2 sqrt32 a^(3b) + sqrt50a^(2b) = sqrt2*a^(8b)[4 + 5(a^8b)] There are many ways to write it, but ... 
math problem
I'm trying to get a handle on what square roots are (I think that's what they are called). Here is an example. 4(almost like a division sign but it is more like a check mark)3. I don't understand what it is, its a square root? and How do I deal with these things? A square root... 
Algebra 2
Simplify the number using the imaginary unit i. (sqrt)of 28 •2(sqrt)7 •2 (sqrt)7 •i (sqrt)28 •2i (sqrt)7 
some algebra help (radicals)
I hope I am writing this down right.. I am trying to do some practice questions to learn 10^5 (sqrt)2y  4^5 (sqrt)2y I am trying to figure out how to solve this They gave us some answers to choose from, but I am clueless on how to solve this 6y ^5 (sqrt)2 6y ^5 (sqrt)2y  6y... 
math
d/dx x(1+y)^(1/2) + y(1+x)^(1/2)=0. Can some1 show me the calculation because i didn't get like the answer. [ans=1/(1+x)^2 but my calculation=(sqrt(y+1) (2 sqrt(x+1) sqrt(y+1)+y)/(sqrt(x+1) (2 sqrt(x+1) sqrt(y+1)+x)] 
math
d/dx x(1+y)^(1/2) + y(1+x)^(1/2)=0. Can some1 show me the calculation because i didn't get like the answer. [ans=1/(1+x)^2 but my calculation=(sqrt(y+1) (2 sqrt(x+1) sqrt(y+1)+y)/(sqrt(x+1) (2 sqrt(x+1) sqrt(y+1)+x)] 
Calculus
Graph the curve and find its exact length. x = e^t + e^t, y = 5  2t, from 0 to 3 Length = Integral from 0 to 3 of: Sqrt[(dx/dt)^2 + (dy/dt)^2] dx/dt = e^t  e^t, correct? dy/dt = t^2  5t, correct? So: Integral from 0 to 3 of Sqrt[(e^t  e^t)^2 + (t^2  5t)^2] Then what ... 
Calculus  Second Order Differential Equations
Solve the initialvalue problem. y'' + 4y' + 6y = 0 , y(0) = 2 , y'(0) = 4 r^2+4r+6=0, r=(16 +/ Sqrt(4^24(1)(6)))/2(1) r=(16 +/ Sqrt(8)) r=8 +/ Sqrt(2)*i, alpha=8, Beta=Sqrt(2) y(0)=2, e^(8*0)*(c1*cos(0)+c2*sin(0))=c2=2 y'(0)=4, c2=4 y(x)=e^(8x)*(2*cos(Sqrt(2)x)+4*sin(... 
math
determine the area of triangle abc when side ab= square root of x, side bc= square root of x, and side ca= the square root of the square root of x. So how do I solve it. How do I add the square root of x + the square root of x + the square root of the square root of x? what is... 
Calculus  Integrating
Question: ∫(x^2)/sqrt(x^2+1) u=x^2+1 , x^2= u1, du=2xdx ∫(u1)/sqrt(u) , expand ∫u/sqrt(u)  1/sqrt(u) Integrate: 2/3(u^(3/2))  2u^(1/2) + c My answer: [ 2/3(x^2+1)^(3/2)  2(x^2+1) + c ] When I took the derivative of this to check my answer, it was not (x^2)/sqrt(x^2+... 
Complex numbers
Prove algebraically that w+z is less than or equal to w+z for any complex numbers w and z, where  is the magnitude. After letting w = a+bi and z = c + di and doing some plugging in etc. I got that acbd <= b^2 + sqrt (a^2+b^2)(c^2+d^2) + d^2 But is my proof complete... 
Math
For f(x) = 2sinx + (sinx)^3 + tanx find f'(pi/3). Ok, so what I tried was... f'(x) = 2cosx + cosx(3(sinx)^2) + (sinx/cosx) pi/3 = (1/2, sqrt(3)/2) therefore, 2(1/2) + 1/2(3(sqrt(3)/2)(sqrt(3)/2) + (sqrt(3)/2 (2/1)) 1 + .5(3 (3/4)) + sqrt(3) 1 + .5(9/4) + sqrt(3) = 4.982... but... 
radical equation
2^x+20=15+3^x A)1 B)16 C)5 D)25 I chose c but i got it wrong i am having a problem understanding it. Let me rewrite the question in a more standard format. 2* sqrt(x)+20=15 + 3*sqrt(x) where * means multiply, and sqrt means the square root. Your use of ^ for square root is ... 
Algebra
Solve for s: h=(square root of 3)times s/2 and solve for h V= (pi)r squared h / 3 Solve for s: h=(square root of 3)times s/2 Multiply both sides by 2. 2h = (sqrt 3)*s*2/2 which cancels the 2 on the right. 2h = (sqrt 3)*s Now divide the right side by everything except what you ... 
Algebra 1
sqrt r  sqrt s/ sqrt r + sqrt s =r sqrt r sqrt rs +sqrt s/ r Can see if I did this right. 
physics
Objects of equal mass are oscillating up and down in simple harmonic motion on two different vertical springs. The spring constant of spring 1 is 186 N/m. The motion of the object on spring 1 has 3 times the amplitude as the motion of the object on spring 2. The magnitude of ... 
Algebradrwls please check!
Posted by Megan on Tuesday, October 12, 2010 at 3:44pm. I have a question if someone could help, please explain it. Given b = 1 and h = 1, what is the equation of the graph if the parent function is y = sqrt (x) Answers: a.y = sqrt(x1) b.y = sqrt (x+1) c.y =  sqrt (x1) ... 
Math  Complex Numbers
Could someone show me how to get the work for: 3/4 (sqrt)16/25 ? The answer says 3/5i. Could anybody tell me how to get there and work with complex fractions and simplify them? Thanks! 3/4 SQRT(16/25) 3/4 SQRT( 16/25*1) 3/4 *4/5 *SQRT( 1) but the sqrt of 1 is defined as i... 
algebra
sqrt(45)+ sqrt(20)+ sqrt(5)sqrt(125)=?? I came up with 6sqrt5 I know it's wrong. I think I messed up the breakdown of the sqrt of 125 
Class 12th : Calculus
If y = sqrt(x1)+sqrt(x+1),prove that sqrt(x^21)dy/dx=1y/2 
linear algebra urgent
For the orthogonal matrix A = 1/sqrt(2) 1/sqrt(2) 1/(sqrt(2)) 1/sqrt(2) verify that (Ax,Ay)=(x,y) for any vectors x and y in R2. Can someone please explain this 
math,correction
i am really trying is this correct. solve: 5(x2)^2 = 3 MY ANSWER THAT I GOT IS: X = 2 + (SQRT (3) )/(5) no. 5(x2)^2 = 3 (x2)^2 = 3/5 x2 = + sqrt (3/5) x= 2 + sqrt (3/5) so the whole fraction of 3/5 is inside the sqrt yes 
Calculus (please check my answer)
Find the Avrage value of the function i=15(1e to the power of 1/2 t) from t=0 and t=4? A.7.5 sqrt 1+4e^2 e^4 <<<<not sure though B.7.5 sqrt 42e^2 + e^4 C.7.5 sqrt 4+4e^2  e^4 D.7.5 sqrt 52e^2 + e^4 
Math
Simplify the product. 9 sqrt 28a^2 * 1/3 sqrt 63a I came until 3 sqrt 49a^2 * sqrt 36a, but then I got confused... 
calculus
the point (1,9) lies on the graph of an equation y=f(x) for which dy/dx=4x(sqrt(y)) where x is greater than or equal to 0 and y is greater than or equal to 0 a)6 b)4 c)2 d)sqrt(2) e)0 
calc
Verify that the function satisfies the three hypotheses of Rolle's Therorem on the given interval. Then find all numbers c that satisfy the conclusiton of Rolle's Theorem. f(x)= x*sqrt(x+6) [6,0] f is continuous and differential f(6) =6*sqrt(6+6) =0 f(0)=0 f(x) = x (x+6^1/... 
mathInverse functions
f(x)=4x2 & g(x)=5x6. Find (f*g) and state domain. f(x)x^21 what is the equation for f^1(x)? f(x)=3x+2, find f(f^1(14)). f(x)=4x+7 and g(x)=3x5 find (f*g)(4) f(x)=sqrt x+3 what is equation for f^1(x)? Graph y=sqrt x2 +5 which point lies on graph? A(7,6) B(0,5) C(2,5... 
algebra
can someone tell me if i did the problem correct (solve by completing the square) 4x^2+2x3=0 x^2+(1/2)=3/4 x^2+(1/2)+(1/4)^2=3/4+(1/4)^2 (x+1/4)^2=13/16 x+1/4=+sqrt 13/16 x+1/4=+sqrt 13/4 x=1/4+sqrt 13/4 x=1+sqrt 13/4 
Math
1. The length of the hypotenuse of a 306090 triangle is 7. Find the perimeter. A) 7/2+21/2 sqrt 3 B) 21+7 sqrt 3 C) 7+21 sqrt 3 D) 21/2 + 7/2 sqrt 3 Could someone please help me, I don't know how to do this. Thank you! 
Algebra 1
Combine the following into a single expression of the form a x sqrt b. Sqrt 6 + Sqrt 54 + Sqrt 150 
Math/Calculus #2
Integrate: 1/(xsqrt(x+2) dx I came up with: (2/3)(2*ln((sqrt(x+2))2)+ln((sqrt(x+2))1)) but it keeps coming back the wrong answer even though I integrated correctly. Is there a way to simplify this answer, and if so, how? I found: Ln[xsqrt(x+2)] + 1/3Ln[(sqrt(x+2)2)/(sqrt(... 
algebra
simplify: sqrt (121/9) a) 11/3 b) sqrt (11/3) c) sqrt(11 / sqrt 3) d)3 sqrt (11) a is the answer 
PreCal(Please check)
1)f(x) = x + sqrt 4  x^2 Find f(2) (2) + sqrt 4  (2)^2 = 2 + sqrt 4 + 4 2 + sqrt 8 = 4.828 Is this correct? 
geometric mean
The geometric mean of two postitive numbers a and b is sqrt(ab). Show that for f(x) = 1/x on any interval [a,b] of positive numbers, the value of c in the conclusion of the mean value theorem is c = sqrt(ab) I have no idea how to do this! If the mean of a and b is sqrt(ab), ... 
calculus
A) How do you prove that if 0(<or=)x(<or=)10, then 0(<or=)sqrt(x+1)(<or=)10? B) So once that is found, then how can you prove that if 0(<or=)u(<or=)v(<or=)10, then 0(<or=)sqrt(u+1)(<or=)sqrt(v+1)(<or=)10? * calculus  Damon, Saturday, April 3, ... 
math
Find the product and enter the real and imaginary parts below. Note that you do not need to type in the since it is already given to you. Simplify your square roots as much as possible. sqrt27((sqrt5)(sqrt11)) 
calculus
A) How do you prove that if 0(<or=)x(<or=)10, then 0(<or=)sqrt(x+1)(<or=)10? B) So once that is found, then how can you prove that if 0(<or=)u(<or=)v(<or=)10, then 0(<or=)sqrt(u+1)(<or=)sqrt(v+1)(<or=)10?