a. Given complex number is \(\displaystyle{z}={3}+{4}{i}\)

Absolute value of the given complex number will be:

\(\displaystyle{\left|{z}\right|}=\sqrt{{{3}^{{2}}+{4}^{{2}}}}=\sqrt{{25}}={5}\)

b. Given complex number is z=−1−2i

Absolute value of given complex number will be:

SK|z| = sqrt(1^2+−2^2) = sqrt5ZSK

Absolute value of the given complex number will be:

\(\displaystyle{\left|{z}\right|}=\sqrt{{{3}^{{2}}+{4}^{{2}}}}=\sqrt{{25}}={5}\)

b. Given complex number is z=−1−2i

Absolute value of given complex number will be:

SK|z| = sqrt(1^2+−2^2) = sqrt5ZSK