Question

How do you simplify `sqrt(16x^7)/sqrt(4x^4)`?

Answer 1

`sqrt(16x^7)/sqrt(4x^4) = 2xsqrt(x)`

Explanation:

`sqrt(16x^7) = sqrt((4x^3)^2*x) = 4x^3sqrt(x)`

`sqrt(4x^4) = sqrt((2x^2)^2) = 2x^2`

`sqrt(16x^7)/(sqrt(4x^4)) = (4x^3sqrt(x))/(2x^2) = 2xsqrt(x)`