Question

Prove that 2+Square root of 3 is irrational

Answer 1

root 3 is irrational so 2+root 3 is also irrational

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Answer 2

let us assume that 2+√3 as rational

2+√3 = a/b

√3=a/b-3

here a/b -3 is rational number

but

it is given that √3 is irrational

so

this contradiction has arisen due to our incorrect assumption

so, this contradicts the fact that 2+√3 is irrational

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