Basic Math Examples

$| 3 + 5 i |$

Step 1

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

$\sqrt{3^{2} + 5^{2}}$

Step 2

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

$\sqrt{9 + 5^{2}}$

Step 3

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

$\sqrt{9 + 25}$

Step 4

Add $9$ and $25$ .

$\sqrt{34}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{34}$

Decimal Form:

$5.83095189 \dots$