# How do you find the square root of 49?

Jul 22, 2016

$\sqrt{49} = \sqrt{7 \times 7} = {\sqrt{7}}^{2} = 7$

#### Explanation:

The square root of a number is that number which, when multiplied by itself will equal the original number.

$4 \times 4 = 16 \Rightarrow {4}^{2} = 16$ This means $\sqrt{16} = 4$

To find the square root of a number, find its prime factors.

$49 = 7 \times 7$

$\sqrt{49} = \sqrt{7 \times 7} = {\sqrt{7}}^{2} = 7$

(A square root can also be a negative number.)