Question

How do you simplify `root3(10)/(root3(625))`?

Answer 1

`=root3(2)/5`

Explanation:

Find prime factors and combine the two roots into one.

`(root3(2xx5))/(root3(5xx5xx5xx5)) = root3((2xxcancel5)/(5xx5xx5xx5xxcancel5))`

`=root3(2/(5xx5xx5))`

Find the cube root where possible

`=root3(2)/5`