Find the Exact Value |2+3i|

$| 2 + 3 i |$

Step 1

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

$\sqrt{2^{2} + 3^{2}}$

Step 2

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

$\sqrt{4 + 3^{2}}$

Step 3

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

$\sqrt{4 + 9}$

Step 4

Add $4$ and $9$ .

$\sqrt{13}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\sqrt{13}$

Decimal Form:

$3.60555127 \dots$