Math, asked by sowmiyah86, 11 months ago

Prove that the following are irrationals:
1\√2

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Answered by brainlyAyu

Let us assume that

$1 \div \sqrt{2}$

is rational number

Hence

$1 \div \sqrt{2}$

can be written in the form of a/b

where a,b(b is not equal to 0) are co-prime

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

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

But here √2 is irrational and a/b is rational

as Rational is not equal to Irrational

This is a contradiction so 1/√2 is a irrational number

Answered by Anonymous

Answer:

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Prove that the following are irrationals:1\√2​

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Prove that the following are irrationals:
1\√2