Question

How do you simplify `10 /root3(4)`?

Answer 1

see below.

Explanation:

First we need to find common factor between `10` and `4` and common factor between them are `2`
`10/root(3)4=(2*5)/(root(3)2*root(3)2)`

For this equation, we need to group `2` into indices form.
`10/root(3)4=5*(2/(root(3)2)^2)`
`10/root(3)4=5*(2/2^(2/3))`
`10/root(3)4=5*(2^(1-2/3))`
`10/root(3)4=5*2^(1/3)`

So the simplest form for `10/root(3)4` is `5*2^(1/3)`.