SOLUTION: please help me solve this problem it says to simplify a. 3 radical 54 and b says radical 25x^2y^3

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Question 115579: please help me solve this problem it says to simplify a. 3 radical 54 and b says radical 25x^2y^3
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
3 radical 54 and b says radical 25x^2y^3
:
3sqrt%2854%29
Note that you can factor 54 inside the radical
3sqrt%289%2A6%29
note that 9 is a perfect square so we can extract the square root of 9:
3%2A3sqrt%286%29
Which is:
9sqrt%286%29
:
:
sqrt%2825x%5E2y%5E3%29
:
You should immediately recognize 25 as a perfect square so we have:
5sqrt%28x%5E2y%5E2%29
And of course x^2 is a perfect square so we have:
5x%2Asqrt%28y%5E3%29
we know that:
5x%2Asqrt%28y%2Ay%5E2%29
therefore:
5xy%2Asqrt%28y%29
:
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