You can
put this solution on YOUR website! Simplify.
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3[³Öx5y5]
Prime factor what's under the cube root radical:
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3[³Öx·x·x·x·x·y·y·y·y·y]
Since it's cube root (index 3), group like factors
into groups of 3 each:
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3[³Ö(x·x·x)·x·x·(y·y·y)·y·y]
Each group of three is a perfect cube, and so each
comes out in front of the radical as a single factor
That is the (x·x·x) is x3 and so it comes out in front
of the radical as a single x. Same for (y·y·y). The
factors that didn't get grouped stay under the radical:
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3·x·y·³Öx·x·y·y
Simplify
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3xy·³Öx2y2
Edwin
