Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may
apply.
-$$\sqrt { - 7 }$$
A) Nonreal complex
B) Complex, pure imaginary, nonreal complex
C) Complex
D) Real, complex

Question

Quizplus · Accepted Answer

The number $\sqrt{-7}$ is a complex number because it involves the square root of a negative number, which cannot be represented on the real number line. It is specifically a pure imaginary number because it can be written in the form $bi$ where $b$ is a real number and $i$ is the imaginary unit $\sqrt{-1}$. Since it is not a real number, it is also considered a nonreal complex number.

Identify the Number as Real, Complex, Pure Imaginary, or Nonreal −7\sqrt { - 7 }−7​

Identify the Number as Real, Complex, Pure Imaginary, or Nonreal $\sqrt { - 7 }$