# How do you simplify # root5(-1988)#?

##### 1 Answer

Aug 13, 2016

#### Explanation:

Factoring

#1988=2*2*7*71#

Since this has no factors with

However, we do know

Spelled out we have:

#root(5)(-1988) = root(5)((-1)^5 * 1988) = root(5)(-1)*root(5)(1988) = -1*root(5)(1988) = -root(5)(1988)#