How do you simplify 7 sqrt x + 3 sqrt y - sqrt x - 3 sqrt y?

Apr 29, 2017

See the entire solution process below:

Explanation:

First, group like terms:

$7 \sqrt{x} - \sqrt{x} + 3 \sqrt{y} - 3 \sqrt{y}$

Now, combine like terms:

$7 \sqrt{x} - 1 \sqrt{x} + 3 \sqrt{y} - 3 \sqrt{y}$

$\left(7 - 1\right) \sqrt{x} + \left(3 - 3\right) \sqrt{y}$

$6 \sqrt{x} + 0 \sqrt{y}$

$6 \sqrt{x}$