# How do you find the absolute value of 3+4i?

Oct 31, 2016

$| a + b i |$ is not read as the absolute value of $a + b i$; it is read as the magnitude of $a + b i$:

$| 3 + 4 i | = \sqrt{{3}^{2} + {4}^{2}}$ = 5

#### Explanation:

The |a + bi| is not read as the absolute value of a + bi; it is read as the magnitude of a + bi. The magnitude is calculated, using the equation:

$| a + b i | = \sqrt{{a}^{2} + {b}^{2}}$

$| 3 + 4 i | = \sqrt{{3}^{2} + {4}^{2}}$ = 5