Question

How do you simplify `sqrt(50m)+sqrt(72m)`?

Answer 1

`11sqrt(2m)`

Explanation:

Write each number as the product of its prime factors first.

`sqrt(50m) = sqrt(5xx5xx2m) = 5sqrt(2m)`

`sqrt(72m) = sqrt(3xx3xx2xx2xx2xxm) = 2xx3sqrt(2m)`

In order to add, we need to have like terms.

`5sqrt(2m) + 6sqrt(2m) = 11sqrt(2m)`