# Decimal expansion of

Question:

Decimal expansion of $\sqrt{2}$ is

(a) a finite decimal
(b) 1.4121
(c) non-terminating recurring
(d) non-terminating, non-recurring

Solution:

(c) a non-terminating and non-repeating decimal

Because $\sqrt{2}$ is an irrational number, its decimal expansion is non-terminating and non-repeating.