# How do you simplify sqrt15*sqrt3+sqrt15*2sqrt5?

Aug 16, 2016

$3 \sqrt{5} + 10 \sqrt{3}$

#### Explanation:

If square roots are being multiplied or divided they can be combined into one square root. Write the numbers as the product of prime factors.

$\sqrt{15} \times \sqrt{3} + \sqrt{15} \times 2 \sqrt{5}$

=$\sqrt{5 \times 3 \times 3} + 2 \sqrt{3 \times 5 \times 5}$

=$3 \sqrt{5} + 2 \times 5 \sqrt{3}$

=$3 \sqrt{5} + 10 \sqrt{3}$