Prove that 2√3 – 7 is an irrational number.
Let us suppose that 2√3 – 7 is rational number
And 2 √3 – 7 = r, where r is rational
⇒ 2√3 = r + 7
RHS is purely rational but LHS is irrational which cannot be true
So our supposition was wrong
⇒ 2√3 – 7 is an irrational number
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