Question

The decimal expansion of $\sqrt{5}$ is?

• A. $2.236$
• B. Finite Decimal
• C. Non – Terminating Recurring
• D. Non – Terminating Non-recurring

Answer 1

The correct option is D

Non – Terminating Non-recurring

Determine the value of $\sqrt{5}$.

Explanation of correct option.

Option d: Non–terminating non-recurring

The value of square root of $5$ is $2.236067977...$

The value of the square root is a non- terminating decimal value.

Also, the digits of the square root value are non repeating.

So, the value of $\sqrt{5}$ is a non–terminating non-recurring decimal.

So, option (D) is correct.

Explanation of Incorrect options.

As the value of $\sqrt{5}$ is a non–terminating non-recurring decimal, the options (A), (B), and (C) are incorrect.

Hence, correct option is $D$