Solve for a 29=a^2

$29 = a^{2}$

Step 1

Rewrite the equation as $a^{2} = 29$ .

$a^{2} = 29$

Step 2

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

$a = \pm \sqrt{29}$

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.

$a = \sqrt{29}$

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

$a = - \sqrt{29}$

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

$a = \sqrt{29}, - \sqrt{29}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$a = \sqrt{29}, - \sqrt{29}$

Decimal Form:

$a = 5.38516480 \dots, - 5.38516480 \dots$