Question

How do you simplify `sqrt(9x^2) /sqrt( 18y^2)`?

Answer 1

`x/(sqrt(2)y)`

Explanation:

`sqrt(9x^2)/sqrt(18y^2)`

`sqrt9=3`

`sqrt(x^2)=x`

`sqrt18=sqrt(9xx2)=3sqrt2`

`sqrt(y^2)=y`

Therefore
`sqrt(9x^2)/sqrt(18y^2)=(3x)/(3sqrt(2) y)`=`x/(sqrt(2)y)`