Determine the absolute value of each of the following complex numbers:

a. z = 3 + 4i

b. z = -1 - 2i.

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.

a. z = 3 + 4i

b. z = -1 - 2i.

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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$\left|\left|z\right|\right|$

Absolute value of the given complex number will be:

$\left|z\right|=\sqrt{{\left(3\right)}^{2}+{\left(4\right)}^{2}}$

$=\sqrt{25}$

=5

Step 2

b. Given complex number is z=−1−2i

Absolute value of given complex number will be:

$\left|z\right|=\sqrt{{(-1)}^{2}+{(-2)}^{2}}$

$=\sqrt{5}$

Hence, absolute value is$\sqrt{5}$ .

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

Absolute value of the given complex number will be:

=5

Step 2

b. Given complex number is z=−1−2i

Absolute value of given complex number will be:

Hence, absolute value is

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