Write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $\sqrt { - 26 }$
A) $- 25 i , 26$
B) $\sqrt { 26 } i , 26$
C) $676 i , 26$
D) $- \sqrt { 26 } i , 26$
E) $- i , 26$

Question

Write the complex conjugate of the complex number. Then multiply the number by its complex conjugate. $\sqrt { - 26 }$ 
A) $- 25 i , 26$
B) $\sqrt { 26 } i , 26$
C) $676 i , 26$
D) $- \sqrt { 26 } i , 26$
E) $- i , 26$

Quizplus · Accepted Answer

The complex conjugate of $\sqrt{-26}$ is $-\sqrt{-26}=-\sqrt{26}i$. Multiplying the number by its complex conjugate, we get $\sqrt{-26} \cdot (-\sqrt{26}i) = - \sqrt{-26} \cdot \sqrt{26}i = -\sqrt{676}i = \boxed{-26i}$. Therefore, the best choice is D.

Write the Complex Conjugate of the Complex Number −26\sqrt { - 26 }−26​

Write the Complex Conjugate of the Complex Number $\sqrt { - 26 }$