# How do you find the square root of 56?

Jul 6, 2018

#### Answer:

$2 \sqrt{14}$

#### Explanation:

Recall the radical law

$\sqrt{a b} = \sqrt{a} \cdot \sqrt{b}$

This means that we can rewrite the square root of the product as the product of the square roots.

We know $56 = 4 \cdot 14$, so this allows us to rewrite $\sqrt{56}$ as

$\sqrt{4} \cdot \sqrt{14}$

This simplifies to

$2 \sqrt{14}$

Since $14$ has no perfect square factors, we cannot factor this any further.

Hope this helps!