# Can square root of 10 be simplified?

Jul 15, 2018

#### Answer:

$\sqrt{10} = \sqrt{2} \cdot \sqrt{5}$

#### Explanation:

Using that $\sqrt{a b} = \sqrt{a} \cdot \sqrt{b}$ for $a , b \ge 0$
we get $\sqrt{10} = \sqrt{2 \cdot 5} = \sqrt{2} \cdot \sqrt{5}$

Jul 15, 2018

See below:

#### Explanation:

Since $10 = 2 \cdot 5$, we can rewrite this as

$\sqrt{2 \cdot 5}$, which is also equal to

$\sqrt{2} \cdot \sqrt{5}$

However, since we have no perfect square factors, this is about as simplified as we can get.

As a decimal, this is approximately

$3.1622$

Hope this helps!