# How do you simplify (sqrt(7) + sqrt(2))(2sqrt(7)-3sqrt(2))?

Apr 5, 2018

$2 - \sqrt{14}$

Here's how I did it:

#### Explanation:

First, let's split this multiplication process up:

$\sqrt{7} \cdot 2 \sqrt{7} = 2 \cdot 7 = 14$

$\sqrt{7} \cdot - 3 \sqrt{2} = - 3 \sqrt{14}$

$\sqrt{2} \cdot 2 \sqrt{7} = 2 \sqrt{14}$

$\sqrt{2} \cdot - 3 \sqrt{2} = - 3 \cdot 4 = - 12$

Now when we combine this all together we get:
$14 - 3 \sqrt{14} + 2 \sqrt{14} - 12$

We can still simplify this to:
$2 - \sqrt{14}$