Question

Find the absolute value. |3-4i|

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asked 2021-05-19
Find the absolute value.
\(|3-4i|\)

Answers (1)

2021-05-20
Step 1
To find the absolute value: \(|3-4i|\)
Solution:
We know absolute value of a complex number of the form a+ib is given by:
\(|a+ib|=\sqrt{a^{2}+b^{2}}\)
\(\Rightarrow |3-4i|=\sqrt{3^{2}+(-4)^{2}}\)
\(\Rightarrow |3-4i|=\sqrt{9+16}\)
\(\Rightarrow |3-4i|=\sqrt{25}\)
\(\Rightarrow |3-4i|=5\)
Step 2
Result:
|3-4i|=5
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