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Irrational Numbers and Properties of Irrational Numbers

Decimal expan...

Question

Decimal expansion of $\sqrt{2}$ is
(a) a finite decimal
(b) a terminating or repeating decimal
(c) a non-terminating and non-repeating decimal
(d) none of these

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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.

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