prove that 2+√3 is irrational number
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2+√3 is irrational
Step-by-step explanation:
let us assume, 2+√3 is irrational
we can find coprime A and B (B is not equal to 0)
therefore, 2+A/B = √3
we get √3 = 2+A/B = 2B+A/B
since A and B are integers, we get 2+A/B is irrational, and so √3 is rational
but this contradiction the fact that √3 is irrational
this contradiction has arisen because of our assumption that 2+√3 is rational
so, we conclude that 2+√3 is irrational
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