Question

Square root of a non perfect square whole number is always ___________.

• A. a whole number
• B. a rational number
• C. an integer
• D. an irrational number

Answer 1

The correct option is D an irrational number

$\text{Detailed step-by-step solution:}$
Let us consider two numbers, $15$ and $16$.
$15=3\times 5$
As $15$ cannot be represented as a product of two same numbers, so it is not a perfect square.
$\sqrt{15}=\mathrm{3.8729...}$ (non terminating and non recurring decimal number)
So, $\sqrt{15}$ is an irrational number.

$\sqrt{16}=4\times 4$
As $16$ can be represented as the product of two same numbers, so it is a perfect square.
$16=4$

Hence, the square root of a perfect square is always a rational number.

So, option C is the correct answer.