Question

The decimal expansion of the number $\sqrt{2}$ is

• A. A finite decimal
• B. $1.4121$
• C. Non-Terminating, Recurring
• D. Non-Terminating, Non-Recurring

Answer 1

Answer: (D)

Non-Terminating, Non-Recurring

$\sqrt{2}$ is an irrational number.

$\sqrt{2}=\mathrm{1.4142136...}$
As can be observed from the expansion, the decimal expansion of the number $\sqrt{2}$ is non-terminating non-recurring.