Question

How do you simplify `root4(80)`?

Answer 1

`= 2sqrt5`

Explanation:

It helps to write a number as the product of its prime factors first.
`80 = 2xx2xx2xx2xx5`

`80 = 2^4 xx 5`

At least we can find the 4th root of part of it and then leave the rest as a radical.

`root(4)80 = root(4)(2^4 xx 5)`

`= 2sqrt5`