Question

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

Answer 1

`sqrt(45x^2) = 3abs(x)sqrt(5)`

Explanation:

`sqrt(45x^2)`
`color(white)("XXXX")` `=sqrt(3^2*5*x^2)`

`color(white)("XXXX")` `= sqrt(3^2)*sqrt(5)*sqrt(x^2)`

`color(white)("XXXX")` `= 3 * sqrt(5) *abs(x)`

`color(white)("XXXX")` `= 3abs(x)sqrt(5)`