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

1 Answer

Oct 31, 2016

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

$| 3 + 4 i | = \sqrt{3^{2} + 4^{2}}$ $|3 + 4i| = sqrt(3^2 + 4^2)$ = 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:

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

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

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