# How do you simplify (sqrt3+4 sqrt5)(2 sqrt3- sqrt5)?

Jul 2, 2017

$= 7 \sqrt{15} - 14$

#### Explanation:

First we will multiply term by term and get:

$\sqrt{3} \cdot 2 \sqrt{3} - \sqrt{3} \cdot \sqrt{5} + 4 \sqrt{5} \cdot 2 \sqrt{3} - 4 \sqrt{5} \cdot \sqrt{5}$

$= 2 \cdot 3 - \sqrt{15} + 8 \sqrt{15} - 4 \cdot 5$

Then we will sum the like terms and get:

$= 6 + 7 \sqrt{15} - 20$

$= 7 \sqrt{15} - 14$