Question

If $p$ is prime, then $\sqrt{p}$ is irrational. So
$\sqrt{7}$ is:

• A. not a real number
• B. terminating decimal
• C. an irrational number
• D. a rational number

Answer 1

Answer: (C)

A rational number can be represented in the form of $\frac{p}{q},$ where $p$ and $q$ are integers and $q$ is a non-zero integer.

Here, $\sqrt{7}$ is not a perfect square and thus cannot be expressed in the form of $\frac{p}{q},$ thus it is an irrational number.