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

Aug 10, 2016

$11 \sqrt{2 m}$

#### Explanation:

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

$\sqrt{50 m} = \sqrt{5 \times 5 \times 2 m} = 5 \sqrt{2 m}$

$\sqrt{72 m} = \sqrt{3 \times 3 \times 2 \times 2 \times 2 \times m} = 2 \times 3 \sqrt{2 m}$

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

$5 \sqrt{2 m} + 6 \sqrt{2 m} = 11 \sqrt{2 m}$