Question

How do you simplify the expression `3sqrt(2x^2y)`?

Answer 1

`3sqrt(2x^2y)=3xsqrt(2y)`

Explanation:

Just divide the root and then cancel the root with the square through the properties:

`sqrt(a*b)=sqrt(a)*sqrt(b)`

`sqrt(a^2)=a`

Solution:

`3sqrt(2x^2y)=3sqrt(x^2*2y)=3sqrt(x^2)sqrt(2y)=`

`=3xsqrt(2y)`