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

2 Answers
Apr 20, 2017

Answer:

#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

Answer:

#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)#