Question

How do you simplify `sqrt(45x^2) div sqrt(9)`?

Answer 1

`sqrt(45x^2) div sqrt(9) = sqrt(5)abs(x)`

Explanation:

`sqrt(45x^2)/sqrt(9`

`color(white)("XXX")= sqrt(9*5*x^2)/sqrt(9)`

`color(white)("XXX")=(cancel(sqrt(9))*sqrt(5)*sqrt(x^2))/cancel(sqrt(9))`

`color(white)("XXX")=sqrt(5)*abs(x)`