How do you simplify the radical expression sqrt(32x^5)?

2 Answers
Apr 20, 2017

4x^2sqrt(2x)

Explanation:

Write down your equation as
sqrt((16x^4)(2x)

Now take the first term out:
4x^2sqrt(2x)

This is the simple form of your equation
4x^2sqrt(2x)

Apr 20, 2017

color(green)(4x^2sqrt(2x)

Explanation:

sqrt(32x^5)

:.sqrt(4*4*2*x*x*x*x*x

:.sqrt4*sqrt4=4

:.sqrtx*sqrtx=x

:.4*x*x*sqrt(2*x)

:.color(green)(4x^2sqrt(2x)