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Prove that 3 + root 2 …

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Prove that 3 + root 2 is irrational

Posted by Gunjan Choudhary 5 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Pratima Gope 5 years, 4 months ago

Let's assume to the contrary that 3+root 2 is rational. Therefore converting it in the form a/b where a and b are co primes. therefore a/b =3+root2 a/b-3=root2 Now since a and b are integers so a/b-3 is rational. Thus root 2 is rational. But it contradicts the fact that root 2 is irrational. This contradiction arouse due to incorrect assumption that 3+root 2 is rational. Thus 3+root 2 is irrational.

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CBSE > Class 10 > Mathematics