How do you simplify #root4(80)#?

1 Answer
Jun 16, 2016

Answer:

#= 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#