Question

If $n$ is a natural number, then $\sqrt{n}$ is

• A. always a natural number
• B. always a rational number
• C. always an irrational number
• D. sometimes a natural number and sometimes an irrational number

Answer 1

The correct option is D

sometimes a natural number and sometimes an irrational number

If n is a natural number then $\sqrt{n}$ may sometimes a natural number and sometime an irrational number. E.g. If n = 2 then $\sqrt{n}$ = $\sqrt{2}$ which is irrational and if n = 4, then $\sqrt{n}$ = $\sqrt{4}$ = 2 which is a natural number.