Problem 94
Question
How do you determine the absolute value of a complex number?
Step-by-Step Solution
Verified Answer
The absolute value of a complex number \(a+bi\) is determined by the formula \(\sqrt{a^2+b^2}\).
1Step 1: Identification of real and imaginary part
If the complex number is given in the form \(a+bi\), let \(a\) be the real part and \(b\) be the imaginary part.
2Step 2: Apply the formula for calculating the absolute value
Input the values of \(a\) and \(b\) into the formula \(\sqrt{a^2+b^2}\). This formula is derived from the Pythagorean theorem.
3Step 3: Calculate the square root
Compute the square root to get the absolute value of the complex number.
Other exercises in this chapter
Problem 93
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