Solve Using the Square Root Property m^2=15

$m^{2} = 15$

Step 1

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

$m = \pm \sqrt{15}$

Step 2

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.

$m = \sqrt{15}$

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

$m = - \sqrt{15}$

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

$m = \sqrt{15}, - \sqrt{15}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$m = \sqrt{15}, - \sqrt{15}$

Decimal Form:

$m = 3.87298334 \dots, - 3.87298334 \dots$