Question

How do you simplify `sqrt500-sqrt180+sqrt80`?

Answer 1

`8sqrt5`

Explanation:

Write each number as the product of its prime factors.

`sqrt500-sqrt180+sqrt80`

=`sqrt(5^2 xx 2^2 xx 5) - sqrt(3^2 xx 2^2 xx 5) + sqrt(2^4 xx5)`

Find the square roots where possible.

=`10sqrt5 - 6sqrt5 + 4sqrt5`

=`8sqrt5`