Homework help please!!?

Question

Another math problem lol... simplifying radicals!

( 3 x radical2 )^3

What I'm trying to say is that... inside the parenthesis is 3 times radical two (square root sign with a two under it)... then that entire thing is cubed.

A breakdown of the solution anyone, please?

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Answer 1

You simply apply the "cubed" operation to everything inside the brackets :

(3 x √2)^3  =  3^3 x (√2)^3  =  (3 x 3 x 3) x (√2 x √2 x √2)

which  =  27 x 2√2  =  54√2