Prove that root 2 + 1 is a irrational number

1.	Prove that root 2 + 1 is a irrational number
Answer» let we assume that root 2 +1 is rational therefore there exist a unique pair of INTEGER a and b such that.. $\sqrt{2 } + 1 = a \div b$ $\sqrt{2} = a - b \div b$ here a-b/b is a rational number but root 2 is IRRATIONAL a rational CANT be an irrational therefore this contradiction arrises DUE to our wrong assumption that root2 -1 is rational is false hence it is an irrational... if u understood the answer MARK me as brainlist

Answer»

let we assume that root 2 +1 is rational therefore there exist a unique pair of INTEGER a and b such that..

$\sqrt{2 } + 1 = a \div b$

$\sqrt{2} = a - b \div b$

here a-b/b is a rational number but root 2 is IRRATIONAL a rational CANT be an irrational

therefore this contradiction arrises DUE to our wrong assumption that root2 -1 is rational is false hence it is an irrational...

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Prove that root 2 + 1 is a irrational number​

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Prove that root 2 + 1 is a irrational number