# How do you solve m^2=11?

Apr 27, 2017

$m = \pm \sqrt{11}$

#### Explanation:

Square roots are canceled out by squaring.
Like this...

${m}^{2} = 11$

Square both sides to get rid of the square root.
Remember when you cancel a square using square root it is positive and negative.

$\sqrt{{m}^{2}} = \pm \sqrt{11}$

$\sqrt{{m}^{\textcolor{red}{\cancel{2}}}} = \pm \sqrt{11}$

$m = \pm \sqrt{11}$