Math
posted by Please Help .
The square root of 27b^11
Can someone explain to me how to solve this?

first, we factor the radicand (the term inside the radical sign or the squreroot):
sqrt(27*b^11)
sqrt[ (3*3*3) (b*b^10) ]
then we separate the perfect squares:
sqrt[ 3*(3^2) b*((b^5)^2) ]
and we take the squarerrot of the perfect squres. the squareroot of 3^2 is 3, while (b^5)^2 is b^5, then we can take them out of the sqrt, leaving only the 3 and b inside:
3b^5 * sqrt(3b)
hope this helps~ :)
Respond to this Question
Similar Questions

Algebra
Use the quadratic formula to solve the equation. Give exact answers: 2x^2 1 = 6x. The choices are: a) 3 + square root(7)/2, 3  square root(7)/2 b) 3 + square root(11)/2, 3  square root(11)/2 c) 3 + square root(7)/2, 3  square … 
Calculus/Logarithms
Find the derivative of f(x) = (square root of x)(ln x). Using my notes, I came up with f'(x) = (1/2*square root of x)/x The answer in the back of the book says f'(x) = (2+ln x)/(2*square root of x). Can someone please explain how? 
Math
Could someone please help me with this math problem? 
Advanced Algebra
Can you please explain to me how I can solve these problems? 
Math
The square root of 27b 11 squared ( square root 27^11) 
math
2.)If f(x)=3x,g(x)=x3,and h(x)= the square root of x, find (fogox)(X). I really didn't get this will someone please show me how to do it? 
math
2.)If f(x)=3x,g(x)=x3,and h(x)= the square root of x, find (fogox)(X). I really didn't get this will someone please show me how to do it? 
Math simplifying mixed radicals
Please help me simplify these following mixed radicals:: and show me how you did it cause I need to learn : I don't know how to type a square root sign so I just wrote square root and the numbers infront of the square root are supposed … 
Math ~CHECK MY ANSWER~
1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers? 
math
1) Which of these is a rational number? a. Pi b. Square root 3 ****** c. Square root 2 d. 1.3 (the # 3 has a line at the top) 2) Which of the following sets contains 3 irrational numbers?