Question

Prove 1/root2 as irrational

Answer 1

$\huge \underline{ \blue{ \boxed{ \bf \red{Answer:-}}}}$

Let us assume $\small\green{\frac{1}{ \sqrt{2} }}$ is Rational Number.

➡ $\small\green{\frac{1}{ \sqrt{2} }}$ =$\rm\green{\frac{a}{b}}$

➡ $\small\green{\frac{b}{a} = \sqrt{2}}$

➡ $\small\green{\frac{b}{a}}$ is a rational number ➡ √2 is irrational number.

➡ Which is a contradiction, means our assumption was wrong.

➡Hence, $\small\green{\frac{1}{ \sqrt{2} }}$ is an Irrational Number.

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