Question

select the expression that is equivalent to |4 - 3i|.
1
√7
5i
5

Explanation:

Step1: Recall modulus formula for complex number

For a complex number $z = a+bi$, $|z|=\sqrt{a^{2}+b^{2}}$. Here $a = 4$ and $b=- 3$.

Step2: Substitute values into formula

$|4 - 3i|=\sqrt{4^{2}+(-3)^{2}}=\sqrt{16 + 9}$.

Step3: Calculate the result

$\sqrt{16 + 9}=\sqrt{25}=5$.

Answer:

D. 5