Math, asked by GaneshNayakJatoth, 1 month ago

is 1/√2 is rational pls explain it​

Answers

Answered by bvchratnakumari1988
7

Answer:

1/√2

So

(1/√2)×√2/√2

=√2/2

If it is rational,

√2/2=a/2b

Assuming a and b are lowest terms

Square both sides

2/4=a^2\4b^2

2b^2=a^2

So if a^2 is a multiple of 2, so too must a be so let a=2n

2b^2=(2n)^2

2b^2=4n^2

b^2=2n^2

So if b^2 is a multiple of 2, so too must b be.

However, as a and b share a common factor, this is a contradiction. So √2/2 is irrational.

Answered by pratyushpatra467
2

Answer:

no because root number should not be in denominator

Step-by-step explanation:

and make my answer as brainlist answer

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