Solve for s 80=s^2

$80 = s^{2}$

Rewrite the equation as $s^{2} = 80$ .

$s^{2} = 80$

Take the square root of both sides of the equation to eliminate the exponent on the left side.

$s = \pm \sqrt{80}$

Simplify $\pm \sqrt{80}$ .

Rewrite $80$ as $4^{2} \cdot 5$ .

Factor $16$ out of $80$ .

$s = \pm \sqrt{16 (5)}$

Rewrite $16$ as $4^{2}$ .

$s = \pm \sqrt{4^{2} \cdot 5}$

Pull terms out from under the radical.

$s = \pm 4 \sqrt{5}$

The complete solution is the result of both the positive and negative portions of the solution.

First, use the positive value of the $\pm$ to find the first solution.

$s = 4 \sqrt{5}$

Next, use the negative value of the $\pm$ to find the second solution.

$s = - 4 \sqrt{5}$

The complete solution is the result of both the positive and negative portions of the solution.

$s = 4 \sqrt{5}, - 4 \sqrt{5}$

The result can be shown in multiple forms.

Exact Form:

$s = 4 \sqrt{5}, - 4 \sqrt{5}$

Decimal Form:

$s = 8.94427190 \dots, - 8.94427190 \dots$