Solve Using the Square Root Property t^2=14

$t^{2} = 14$

Step 1

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

$t = \pm \sqrt{14}$

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.

$t = \sqrt{14}$

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

$t = - \sqrt{14}$

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

$t = \sqrt{14}, - \sqrt{14}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$t = \sqrt{14}, - \sqrt{14}$

Decimal Form:

$t = 3.74165738 \dots, - 3.74165738 \dots$