Basic Math Examples

$| - 8 - 6 i |$

Step 1

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

$\sqrt{{(- 8)}^{2} + {(- 6)}^{2}}$

Step 2

Raise $- 8$ to the power of $2$ .

$\sqrt{64 + {(- 6)}^{2}}$

Step 3

Raise $- 6$ to the power of $2$ .

$\sqrt{64 + 36}$

Step 4

Add $64$ and $36$ .

$\sqrt{100}$

Step 5

Rewrite $100$ as $10^{2}$ .

$\sqrt{10^{2}}$

Step 6

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

$10$