How do you simplify #root3(-1000x^3)#?

1 Answer
Apr 16, 2016

Answer:

#-10x#

Explanation:

We are asked to find the cubic root of #-1000x^3#.

-1000 and #x^3# are both perfect cubic numbers so it will be fairly simple to figure out the answer to this problem.

#root(3){-1000} = -10# because #-10 times -10 times -10 = -1000#
#root(3){x^3} = x# because # x times x times x = x^3#

Therefore our answer is #-10x#.