# What is 5 square root 60 times 3 square root 56 in simplest radical form?

$10 \sqrt{15} \times 6 \sqrt{14}$

#### Explanation:

Putting the question into math symbology:

$5 \sqrt{60} \times 3 \sqrt{56}$

Let's first find perfect squares within the square roots:

$5 \sqrt{4 \times 15} \times 3 \sqrt{8 \times 7}$

$5 \sqrt{4 \times 15} \times 3 \sqrt{4 \times 14}$

$5 \sqrt{4} \sqrt{15} \times 3 \sqrt{4} \sqrt{14}$

$5 \left(2\right) \sqrt{15} \times 3 \left(2\right) \sqrt{14}$

$10 \sqrt{15} \times 6 \sqrt{14}$

I don't see any opportunities to simplify further, so this is our answer.