Prove that -2 is irrational number using long division method-

The square root of 2 can be found out by long division method as: √(2)=1.41421 Since the answer that we got is never ending and continuing, therefore √(2) is ...

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Standard IX

Mathematics

Rational Numbers

Prove that √2...

Question

Prove that $\sqrt{2}$ is irrational number using long division method.

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Solution

The square root of 2 can be found out by long division method as:

$\sqrt{2} = 1.41421$
Since the answer that we got is never ending and continuing, therefore $\sqrt{2}$ is an irrational number.

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Prove that √2 is irrational number using long division method.

The square root of 2 can be found out by long division method as: √2=1.41421 Since the answer that we got is never ending and continuing, therefore √2 is an irrational number.

Prove that $\sqrt{2}$ is irrational number using long division method.

The square root of 2 can be found out by long division method as:

$\sqrt{2} = 1.41421$
Since the answer that we got is never ending and continuing, therefore $\sqrt{2}$ is an irrational number.