Simplify |1+i|

$| 1 + i |$

Step 1

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

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

Step 2

One to any power is one.

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

Step 3

One to any power is one.

$\sqrt{1 + 1}$

Step 4

Add $1$ and $1$ .

$\sqrt{2}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{2}$

Decimal Form:

$1.41421356 \dots$

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