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

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) (Show Source): You can put this solution on YOUR website!
Simplify:
Write 540 as 15*36
Now take the square root of 36 (that's 6) and move it outside of the radical.
Cancel 3's and rewrite the square roots as:
Now cancel the 5's to get:

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