Question

How do you simplify the cube root of 32?

Answer 1

`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)`