Find the product of the given complex number and its conjugate. Write the answer in the form a + bi.
-$\sqrt { 5 } + 3 \mathrm { i }$
A) $5 + 9 i$
B) 2
C) $5 - 9 \mathrm { i }$
D) 14

Question

Quizplus · Accepted Answer

The product of a complex number and its conjugate is given by $a^2 + b^2$, where $a$ and $b$ are the real and imaginary parts, respectively. For $\sqrt{5} + 3i$, $a = \sqrt{5}$ and $b = 3$, so the product is $(\sqrt{5})^2 + (3)^2 = 5 + 9 = 14$.

Find the Product of the Given Complex Number and Its 5+3i\sqrt { 5 } + 3 \mathrm { i }5​+3i

Find the Product of the Given Complex Number and Its $\sqrt { 5 } + 3 \mathrm { i }$