Question

$2 - \sqrt{3} \: isirrational \: number$
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Answer 1

Yes, mate 2-√3 is a irrational number

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Answer 2

Let 2-√3 be rational no.

So,2-√3=p/q

-√3=p/q-2

Since,a and b are integers,a/b-2 is a rational number and

therefore,-√3 is a rational no.

but this contradicts the fact that it is a irrational number.

This contradiction arises as we have assumed 2-√3 a rational number.

So,2-√3 is a irrational no.

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