SOLUTION: My algebra teacher said for square root 36 x cubed the answer is 6|x|square x i don't understand how he got that answer

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Question 758838: My algebra teacher said for square root 36 x cubed the answer is 6|x|square x i don't understand how he got that answer
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
sqrt%2836x%5E3%29...you can write 36 as 6%5E2 and x%5E3 as x%5E2%2Ax
=sqrt%286%5E2x%5E2x%29.......you can write it as a product of square roots sqrt%286%5E2%29sqrt%28x%5E2%29sqrt%28x%29
=sqrt%286%5E2%29sqrt%28x%5E2%29sqrt%28x%29.......so, sqrt%286%5E2%29=6 and sqrt%28x%5E2%29=x, but sqrt%28x%29 stays like it is
=6x%2Asqrt%28x%29