(B) The number $\sqrt{2}$ is an irrational number.By definition,the decimal expansion of an irrational number is always non-terminating and non-recurr

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(B) The number $\sqrt{2}$ is an irrational number.By definition,the decimal expansion of an irrational number is always non-terminating and non-recurring (non-repeating).Therefore,the decimal expansion of $\sqrt{2}$ is $1.41421356...$,which does not end and does not repeat any pattern.

Class 9 Mathematics Number Systems Mix Examples - Number Systems

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

A
a finite decimal
B
non-terminating non-recurring
C
non-terminating recurring
D
$1.41421$

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Class 9

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Mix Examples - Number Systems

Rationalise the denominator of the following:
$\frac{\sqrt{6}}{\sqrt{2}+\sqrt{3}}$

Difficult

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Show that $0.142857142857 \ldots = \frac{1}{7}$.

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If $a = \frac{\sqrt{5}}{8}$ and $\frac{8}{a} = b \sqrt{5}$,then find the value of $b$.

Medium

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Represent the following numbers on the number line:
$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$

Medium

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Represent $5.4949$ on the number line,using successive magnification,up to $4$ decimal places.

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

Similar Questions

Rationalise the denominator of the following:$\frac{\sqrt{6}}{\sqrt{2}+\sqrt{3}}$

Show that $0.142857142857 \ldots = \frac{1}{7}$.

If $a = \frac{\sqrt{5}}{8}$ and $\frac{8}{a} = b \sqrt{5}$,then find the value of $b$.

Represent the following numbers on the number line:$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$

Represent $5.4949$ on the number line,using successive magnification,up to $4$ decimal places.

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Rationalise the denominator of the following:
$\frac{\sqrt{6}}{\sqrt{2}+\sqrt{3}}$

Represent the following numbers on the number line:
$7, 7.2, \frac{-3}{2}, \frac{-12}{5}$