Find the product of the complex number and its conjugate.
-$3 + \sqrt { 11 } i$
A) $- 2$
B) $- 112$
C) 20
D) 130

Name: Find the product of the complex number and its conjugate. -$3 + \sqrt { 11 } i$ A) $- 2$ B) $- 112$ C) 20 D) 130
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Quizplus · Accepted Answer

The product of a complex number and its conjugate is given by $a^2 + b^2$ where $a$ is the real part and $b$ is the imaginary part (without the $i$). For $3 + \sqrt{11}i$, $a = 3$ and $b = \sqrt{11}$, so the product is $3^2 + (\sqrt{11})^2 = 9 + 11 = 20$.

Find the Product of the Complex Number and Its Conjugate 3+11i3 + \sqrt { 11 } i3+11​i

Find the Product of the Complex Number and Its Conjugate $3 + \sqrt { 11 } i$