Simplify |5+12i|

$| 5 + 12 i |$

Step 1

Use the formula $| a + b i | = \sqrt{a^{2} + b^{2}}$ to find the magnitude.

$\sqrt{5^{2} + 12^{2}}$

Step 2

Raise $5$ to the power of $2$ .

$\sqrt{25 + 12^{2}}$

Step 3

Raise $12$ to the power of $2$ .

$\sqrt{25 + 144}$

Step 4

Add $25$ and $144$ .

$\sqrt{169}$

Step 5

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

$\sqrt{13^{2}}$

Step 6

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

$13$