Precalculus Examples

$| - 10 + 24 i |$

Step 1

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

$\sqrt{{(- 10)}^{2} + 24^{2}}$

Step 2

Raise $- 10$ to the power of $2$ .

$\sqrt{100 + 24^{2}}$

Step 3

Raise $24$ to the power of $2$ .

$\sqrt{100 + 576}$

Step 4

Add $100$ and $576$ .

$\sqrt{676}$

Step 5

Rewrite $676$ as $26^{2}$ .

$\sqrt{26^{2}}$

Step 6

Pull terms out from under the radical, assuming positive real numbers.

$26$