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Prove that √3 - 2 is an irrational number.​

Answer»

Heyaa☺

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Given,

_/3 - 2.

let us assume that _/3 - 2 is not an IRRATIONAL NUMBER.

Now, let _/3 - 2 = a / B. (where a and b are ci-primes)

=》 _/3 = a / b + 2

=》 _/3 = 2b + a /2

=》 _/3 is an irrational number and 2b + a / 2 is a rational number.

Therefore, irrational = rational

This is a contradiction to our assumption.

So we CONCLUDE that _/3 - 2 is an irrational number.

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Hope you understand...✌


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