Basic Math Examples

$| - 5 + 4 i |$

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

Find the approximate answer.

$\sqrt{41} \approx 6.40312423$