Determine whether the complex numbers $\sqrt { 25 } - \sqrt { - 3 }$ and 5 $+$ $\sqrt { 3 }$ i are equal.
A)equal
B)not equal

Question

Quizplus · Accepted Answer

Let's first simplify $\sqrt{25} - \sqrt{-3} = 5 - i\sqrt{3}$.

So we need to compare 5 + $\sqrt{3}$i and 5 - i$\sqrt{3}$.

These two complex numbers are complex conjugates of each other, meaning they have the same real part but opposite imaginary parts. Therefore, they are not equal.

Determine Whether the Complex Numbers 25−−3\sqrt { 25 } - \sqrt { - 3 }25​−−3​

Determine Whether the Complex Numbers $\sqrt { 25 } - \sqrt { - 3 }$