Basic Math Examples

$n^{2} = 13 (9 + 4)$

Step 1

Add $9$ and $4$ .

$n^{2} = 13 \cdot 13$

Step 2

Multiply $13$ by $13$ .

$n^{2} = 169$

Step 3

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

$n = \pm \sqrt{169}$

Step 4

Simplify $\pm \sqrt{169}$ .

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Step 4.1

Rewrite $169$ as $13^{2}$ .

$n = \pm \sqrt{13^{2}}$

Step 4.2

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

$n = \pm 13$

Step 5

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

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Step 5.1

First, use the positive value of the $\pm$ to find the first solution.

$n = 13$

Step 5.2

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

$n = - 13$

Step 5.3

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

$n = 13, - 13$