Question

which of the following is equal to square root 18x^7y^6

Answer 1

i know the answer is 3x^3y^3sqrt2 but how would i figure this out

Answer 2

Here's the first step: \[\sqrt{2*3^2*x^6xy^6}\]

Answer 3

Second step: Separate terms you can take the sqrt of...
\[\sqrt{3^2x^6y^6}*\sqrt{2x}\]
3rd Step:
\[3x^3y^3\sqrt{2x}\]

Answer 4

is that any clearer? or do you need me to explain any of the steps?