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Prove that root 5 is irrational number

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eSaral Academic and Editorial Team

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Prove that root 5 is irrational number

Question : $\sqrt{5}$ is an irrational number.

  1. True
  2. False

Solution :
The correct option is 1. True
An irrational number is any real number that cannot be expressed as a ratio
$\mathrm{a} / \mathrm{b}$, where a and $\mathrm{b}$ are integers and $\mathrm{b}$ is non-zero.
$\sqrt{5}$ is irrational as it can never be expressed in the form $\mathrm{a} / \mathrm{b}$

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