Simplify |i|

$| i |$

Step 1

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

$\sqrt{0^{2} + 1^{2}}$

Step 2

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

$\sqrt{0 + 1^{2}}$

Step 3

One to any power is one.

$\sqrt{0 + 1}$

Step 4

Add $0$ and $1$ .

$\sqrt{1}$

Step 5

Any root of $1$ is $1$ .

$1$