# How do you simplify 7sqrtx+3sqrty-sqrtx-3sqrty?

May 16, 2018

$6 \setminus \sqrt{x}$

#### Explanation:

The $3 \setminus \sqrt{y} - 3 \setminus \sqrt{y}$ cancel each other out.

This leaves you: $7 \setminus \sqrt{x} - \setminus \sqrt{x}$

Since they have the same variables, they can be treated as normal algebra, which gives you $6 \setminus \sqrt{x}$

May 16, 2018

$6 \sqrt{x}$

#### Explanation:

Add the like terms first and then simplify further.

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

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

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

$7 \sqrt{x} - \sqrt{x}$

$6 \sqrt{x}$

Another way to arrive to $6 \sqrt{x}$ is:

$7 \sqrt{x} - \sqrt{x}$

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

$\sqrt{x} \times 6$

$6 \sqrt{x}$