# How do you simplify 3sqrt5-2sqrt20?

Jul 14, 2017

See a solution process below:

#### Explanation:

First, we can begin the simplification process by rewriting the radical on the left as:

$3 \sqrt{5} - 2 \sqrt{20} \implies 3 \sqrt{5} - 2 \sqrt{4 \cdot 5} \implies 3 \sqrt{5} - \left(2 \sqrt{4} \sqrt{5}\right) \implies$

$3 \sqrt{5} - \left(2 \cdot 2 \sqrt{5}\right) \implies 3 \sqrt{5} - 4 \sqrt{5}$

We can complete the simplification by factoring out the common term and calculating the result:

$\left(3 - 4\right) \sqrt{5} \implies - 1 \sqrt{5} \implies - \sqrt{5}$