# What is the square root of 2 to the power of 2?

May 31, 2018

It is simply 2.

#### Explanation:

${\left(\sqrt{2}\right)}^{2}$= ${\left({2}^{\frac{1}{2}}\right)}^{2}$

Now use the property ${\left({a}^{m}\right)}^{n} = {a}^{m n}$

Now we have,

${2}^{\frac{1}{2} \cdot 2} = 2$