How do you simplify the cube root of 32?

1 Answer
Sep 18, 2015

Answer:

#2^frac(5)(3)#

Explanation:

I'm wondering if you could call this a "simplification" but here it is "rewritten" in another form:
since #32=2*2*2*2*2=2^5#,
we can write:
#root(3)(32) =root(3)(2^5)=2^frac(5)(3)#
(because #root(3)(x) = x^frac(1)(3)#)
or if one absolutely wants to get some integer out of the root, we could write:
#root(3)(32) =root(3)(8*4)=root(3)(2^3*4)=2root(3)(4)#