Question

How do you simplify `(9 sqrt(5x^2))/( 3 sqrt(2x^4))`?

Answer 1

Remember that `sqrt(x^2)=x` and `x^4=x^2*x^2`
And that `sqrt(a*b)=sqrta*sqrtb`

Explanation:

`=(9*sqrt5*sqrt(x^2))/(3*sqrt2*sqrt(x^2)*sqrt(x^2))`

`=(cancel3*3*cancelx*sqrt5)/(cancel3*x*cancelx*sqrt2)`

`=(3sqrt5)/(xsqrt2)`