Trigonometry Examples

$| - 3 + 2 i |$

Step 1

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

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

Step 2

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

$\sqrt{9 + 2^{2}}$

Step 3

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

$\sqrt{9 + 4}$

Step 4

Add $9$ and $4$ .

$\sqrt{13}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{13}$

Decimal Form:

$3.60555127 \dots$