Solve for s s^2=225

$s^{2} = 225$

Step 1

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

$s = \pm \sqrt{225}$

Step 2

Simplify $\pm \sqrt{225}$ .

Rewrite $225$ as $15^{2}$ .

$s = \pm \sqrt{15^{2}}$

Pull terms out from under the radical, assuming positive real numbers.

$s = \pm 15$

Step 3

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.

$s = 15$

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

$s = - 15$

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

$s = 15, - 15$