The decimal expansion of 2 is and

2 nbsp;is an irrational number. The decimal expansion nbsp;of an irrational number neither terminates nor repeats nbsp;after finitely many digits. Hence ...

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Standard IX

Mathematics

Decimal Expansion of Rational and Irrational Numbers

The decimal e...

Question

The decimal expansion of $\sqrt{2}$ is _ and ___.

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Solution

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

The decimal expansion of an irrational number neither terminates nor repeats after finitely many digits.

Hence, the decimal expansion of $\sqrt{2}$ is non-terminating and non-repeating.

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Similar questions

Q. The decimal expansion of the number

\sqrt{2}

Q. Write the following in decimal form and say what kind of decimal expansion it has:

\frac{2}{11}

Q. Find the decimal expansion of

\frac{2}{11}

Q. 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

Question 1 (v)
Write $\frac{2}{11}$ in decimal form and say what kind of decimal expansion it has.

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The decimal expansion of 2 is _______ and _________.

2 is an irrational number. The decimal expansion of an irrational number neither terminates nor repeats after finitely many digits. Hence, the decimal expansion of 2 is non-terminating and non-repeating.

The decimal expansion of $\sqrt{2}$ is _ and ___.

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

The decimal expansion of an irrational number neither terminates nor repeats after finitely many digits.

Hence, the decimal expansion of $\sqrt{2}$ is non-terminating and non-repeating.