# What is the square root of 12 the power of 2 + 5 the power of 2?

Sep 20, 2015

37

#### Explanation:

I'm assuming you meant
${\left(\sqrt{12}\right)}^{2} + {5}^{2}$

Well then, that's easy.
The square of a square-root is what's inside the root.
You'll have to remember the rule:
${\left(\sqrt{a}\right)}^{2} = a$ (where $a \ge 0$, i.e. only positive numbers)
(Note: this is different from the square-root of a square
i.e. $\sqrt{{a}^{2}} = \left\mid a \right\mid$ where $\left\mid a \right\mid$ is the absolute value of a, for all a, not only positive numbers.)

So, we have:
$12 + 5 \cdot 5 = 12 + 25 = 37$