Simplify |-5-4i|

$| - 5 - 4 i |$

Step 1

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

$\sqrt{{(- 5)}^{2} + {(- 4)}^{2}}$

Step 2

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

$\sqrt{25 + {(- 4)}^{2}}$

Step 3

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

$\sqrt{25 + 16}$

Step 4

Add $25$ and $16$ .

$\sqrt{41}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{41}$

Decimal Form:

$6.40312423 \dots$