# What is 2sqrt45 expressed in simplest radical form?

Oct 28, 2016

$2 \sqrt{45} = 6 \sqrt{5}$

#### Explanation:

Simplify: $2 \sqrt{45}$

Determine the prime factorization of $\sqrt{45}$.

$\sqrt{45} = \sqrt{5 \times 9} = \sqrt{5} \sqrt{9} = \sqrt{5} \times 3 \times 3$

$3$ is the square root of $9$ or $3 \times 3$.

Simplify.

$\sqrt{45} = 3 \sqrt{5}$

Multiply $2 \times 3 \sqrt{5}$

Simplify: $6 \sqrt{5}$