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Evaluate |-3i|

$| - 3 i |$

Step 1

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

$\sqrt{0^{2} + {(- 3)}^{2}}$

Step 2

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

$\sqrt{0 + {(- 3)}^{2}}$

Step 3

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

$\sqrt{0 + 9}$

Step 4

Add $0$ and $9$ .

$\sqrt{9}$

Step 5

Rewrite $9$ as $3^{2}$ .

$\sqrt{3^{2}}$

Step 6

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

$3$

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