Question

How do you simplify `sqrt( 72a^2b^3)`?

Answer 1

`6a*b*sqrt(2b)`

Explanation:

Factorise everything and you have:
`sqrt(72*a^2*b^3)=sqrt(2^3*3^2*a^2*b^3)=sqrt(2^2*3^2*a^2*b^2*2b)`

Pull the squared terms out of the root sign (root and square operations cancel each other) and you have the answer.