Simplify in Radicals by factoring question?

Question

The problem is:

^3sq.root54x^8y^6 (the square root of 54x to the 8th and y to the 6th cubed)

This has to simplified by factoring, I have got this far ... am I right?

^3√54x8y6
= ^3√27 * 2 * x^2 * y^3 * y^2
= 3√(27x^2 y^3)(2y^2)
= ^3√27x^2 y3 * ^3√2y^2
= 3x^2y^3 3√2y^2
I hope this can be figured out, it looks nothing like what I have in word, if you like email me and I will attach it and you can see what I actually have. ([e-mail])
If I am wrong, where did I go wrong? I don't want to e given the answer, I just want to know if I have the right answer and if not who to get it.

Thanks in advance for any help

Answer 1

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