Simplify |3-4i|

$| 3 - 4 i |$

Step 1

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

$\sqrt{3^{2} + {(- 4)}^{2}}$

Step 2

Raise $3$ to the power of $2$ .

$\sqrt{9 + {(- 4)}^{2}}$

Step 3

Raise $- 4$ to the power of $2$ .

$\sqrt{9 + 16}$

Step 4

Add $9$ and $16$ .

$\sqrt{25}$

Step 5

Rewrite $25$ as $5^{2}$ .

$\sqrt{5^{2}}$

Step 6

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

$5$