Solve Using the Square Root Property t^2=13

$t^{2} = 13$

Step 1

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

$t = \pm \sqrt{13}$

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.

$t = \sqrt{13}$

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

$t = - \sqrt{13}$

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

$t = \sqrt{13}, - \sqrt{13}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$t = \sqrt{13}, - \sqrt{13}$

Decimal Form:

$t = 3.60555127 \dots, - 3.60555127 \dots$