SOLUTION: I'm trying to understand how to simplify this fraction with radicals square root of 540 ----------- ------- 3 square root of 5 I know the answer is 2 square root of 3

Algebra ->  Radicals -> SOLUTION: I'm trying to understand how to simplify this fraction with radicals square root of 540 ----------- ------- 3 square root of 5 I know the answer is 2 square root of 3      Log On


   

Question 490260: I'm trying to understand how to simplify this fraction with radicals

square root of 540
-------------------
3 square root of 5


I know the answer is 2 square root of 3
I have tried multiplying it by the denominator
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
%28sqrt%28540%29%29%2F%283%2Asqrt%285%29%29 Write 540 as 15*36
%28sqrt%2815%2A36%29%29%2F%283sqrt%285%29%29 Now take the square root of 36 (that's 6) and move it outside of the radical.
%286%2Asqrt%2815%29%29%2F%283%2Asqrt%285%29%29 Cancel 3's and rewrite the square roots as:
2%2Asqrt%2815%2F5%29 Now cancel the 5's to get:
highlight%282%2Asqrt%283%29%29