Write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $- 7 + \sqrt { 6 } i$
A) $- 7 - \sqrt { 6 } i , 55$
B) $7 - \sqrt { 6 } i , 55$
C) $- 7 + \sqrt { 6 } i , 55$
D) $7 + \sqrt { 6 } i , 55$
E) $- 6 - \sqrt { 7 } i , 55$

Question

Write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $- 7 + \sqrt { 6 } i$ 
A) $- 7 - \sqrt { 6 } i , 55$
B) $7 - \sqrt { 6 } i , 55$
C) $- 7 + \sqrt { 6 } i , 55$
D) $7 + \sqrt { 6 } i , 55$
E) $- 6 - \sqrt { 7 } i , 55$

Quizplus · Accepted Answer

The complex conjugate of $- 7 + \sqrt { 6 } i$ is $- 7 - \sqrt { 6 } i$. Multiplying the number by its complex conjugate gives $(-7 + \sqrt{6}i)(-7 - \sqrt{6}i) = 49 + 6 = 55$.

Write the Complex Conjugate of the Complex Number −7+6i- 7 + \sqrt { 6 } i−7+6​i

Write the Complex Conjugate of the Complex Number $- 7 + \sqrt { 6 } i$