SOLUTION: Can someone please help me Simplify or reduce these Radicals {{{root(3,24x^5y^3)}}} Please help me I do Appreciate it

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Question 196224: Can someone please help me Simplify or reduce these Radicals

Please help me I do Appreciate it

Found 2 solutions by josmiceli, Edwin McCravy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
What you have is the cube root of
If I say , then

I can also say




Answer by Edwin McCravy(20086)   (Show Source): You can put this solution on YOUR website!

Note: Josmiceli's solution is not acceptable for this is not supposed to be done by fractional exponents!
Edwin's solution:




Break 24 down into prime factors:



Break  down into prime factors:



Break  down into prime factors:



Substituting:





Since the index is 3, use parentheses to
group as many groups of three like factors
as possible under the radical:



Write each group of three as a cube:



Take the cube roots of those cubes outside
in front of the radical.  Leave the factors
that did not group under the radical:



Write the  as  under the
radical:





Edwin

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