Question

Provide an example of a square root that would be neither rational or irrational. Explain.

Answer 1

A. Square roots can be rational, irrational or imaginary. Then, Benjamin is incorrect.

B. Examples of rational square roots:

$\begin{gathered} \sqrt[]{4}=2 \\ \sqrt[]{9}=3 \\ \sqrt[]{16}=4 \end{gathered}$

Examples of irrational square roots:

$\sqrt[]{2},\sqrt[]{3},\sqrt[]{5}$

C. Imaginary numbers are neither rational nor irrational. Then, the next examples of square roots are neither rational nor irrational

$\sqrt[]{-2},\sqrt[]{-3},\sqrt[]{-4}$