# How do you solve k^2 = 10.24?

Mar 9, 2018

Follow explanation. Your solution: $k = \pm 3.2$

#### Explanation:

${k}^{2} = 10.24$

$\sqrt{{k}^{2}} = \pm \sqrt{10.24}$

$k = \pm 3.2$

Because of the fact that $\sqrt{{k}^{2}} = \pm {\left({k}^{2}\right)}^{0.5} = \pm k$

There are two possible roots.

Mar 9, 2018

$k = \pm 3.2$

#### Explanation:

Square root both sides of the equation

sqrt(k^2= +-sqrt(10.24)
$k = \pm 3.2$

There are two possible roots.

Check solution

$+ {3.2}^{2} = 10.24$
${\left(- 3.2\right)}^{2} = 10.24$

$10.24 = 10.24$