The decimal expansion of the number

Question:

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

(a) a finite decimal

(b) $1.41421$

(c) non-terminating recurring

(d) non-terminating non-recurring

Solution:

The decimal expansion of the number $\sqrt{2}$ is non-terminating non-recurring. Because $\sqrt{2}$ is an irrational number.

Also, we know that an irrational number is non-terminating non-recurring.

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