Simplify |5-3i|

$| 5 - 3 i |$

Step 1

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

$\sqrt{5^{2} + {(- 3)}^{2}}$

Step 2

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

$\sqrt{25 + {(- 3)}^{2}}$

Step 3

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

$\sqrt{25 + 9}$

Step 4

Add $25$ and $9$ .

$\sqrt{34}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{34}$

Decimal Form:

$5.83095189 \dots$