# math b

sqrt 72 + sqrt 18

6sqrt7 - 4sqrt7

Multiply & express in simplest form
sqrt5 x sqrt20

1/3sqrt18 x sqrt16

Divide & express in simplest form
sqrt80 / sqrt5

sqrt150 / sqrt3

Rationalize the denominator
5
/
2-sqrt3

6
/
sqrt7+2

3
/
sqrt6

2+sqrt3
/
4-sqrt3

1. 👍 0
2. 👎 0
3. 👁 303
1. I will do the first one and the last one, you do the rest.
sqrt 72 + sqrt 18
=
sqrt (18*4) + sqrt 18
=
2 sqrt 18 + 1 sqrt 18
=
3 sqrt (3*3*2)
=
9 sqrt 2
-----------------------------
(2+sqrt 3) (4+sqrt3)
/
(4-sqrt 3) (4+sqrt3)
=
(8 +6sqrt 3 + 3 )
/
(16-3)
=
(11 +6 sqrt 3)
/
13

1. 👍 0
2. 👎 0
2. is there a way that the 1/3sqrt18 x sqrt16 problem can be solved

150 / 3

and
6
sqrt7 + 2

i'm having trouble with those.

1. 👍 0
2. 👎 0
3. If you mean (1/3)sqrt18 x sqrt16, that is (1/3)sqrt(9*2)* 4 = 4 sqrt 2

Surely you know what 150/3 is.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### 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

asked by Carl Wheezer on May 7, 2017
2. ### math

One ordered pair (a,b) satisfies the two equations ab^4 = 12 and a^5 b^5 = 7776. What is the value of a in this ordered pair? Note: You can enter radicals with the \sqrt command. For example, \sqrt[3]{5} gives you \sqrt[3]{5}.

asked by bargav on June 4, 2015

Perform the indicated operations and simplify the result. Leave your answer in factored form. 1) x/16 - 1/x all over 1 + 4/x A) x+4/16 B) x-4/16 C) 16/x+4 D) 16/x-4 E) -16/x+4 I chose answer C. I saw this as x^2-16/ x+4. Multiply

asked by Hannah on September 9, 2010
4. ### 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

asked by girly girl on March 22, 2018
5. ### Algebra

Evaluate sqrt7x (sqrt x-7 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 7x-49*x ^^^ would this be my final answer?

asked by Alexa on February 17, 2016
1. ### 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

asked by anthony on June 24, 2010
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

asked by John on November 6, 2007
3. ### 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 +

asked by erin on August 3, 2007