Determine the absolute value of each of the following complex numbers: a. z = 3 + 4i b. z = -1 - 2i.

EunoR 2021-02-09 Answered
Determine the absolute value of each of the following complex numbers:
a. z = 3 + 4i
b. z = -1 - 2i.
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Expert Answer

Ezra Herbert
Answered 2021-02-10 Author has 99 answers
Step 1
To find the absolute value of the given complex numbers.
a. Given complex number is z=3+4i
Absolute value of a complex number is the distance of complex number from origin.
It is given by ||z||
Absolute value of the given complex number will be:
|z|=(3)2+(4)2
=25
=5
Step 2
b. Given complex number is z=−1−2i
Absolute value of given complex number will be:
|z|=(1)2+(2)2
=5
Hence, absolute value is 5.
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