Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may
apply.
-$\sqrt { 5 }$
A) Complex
B) Nonreal complex
C) Real, complex
D) Complex, pure imaginary, nonreal complex

Question

Quizplus · Accepted Answer

$\sqrt{5}$ is a real number because it represents the positive square root of 5, which is a positive real number. All real numbers are also complex numbers with an imaginary part of 0. Therefore, $\sqrt{5}$ is both real and complex. It is not pure imaginary or nonreal complex because it has a definite real value without an imaginary component.

Identify the Number as Real, Complex, Pure Imaginary, or Nonreal 5\sqrt { 5 }5​

Identify the Number as Real, Complex, Pure Imaginary, or Nonreal $\sqrt { 5 }$