Find the Exact Value |-2i|

$| - 2 i |$

Step 1

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

$\sqrt{0^{2} + {(- 2)}^{2}}$

Step 2

Raising $0$ to any positive power yields $0$ .

$\sqrt{0 + {(- 2)}^{2}}$

Step 3

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

$\sqrt{0 + 4}$

Step 4

Add $0$ and $4$ .

$\sqrt{4}$

Step 5

Rewrite $4$ as $2^{2}$ .

$\sqrt{2^{2}}$

Step 6

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

$2$