Prove 2-√3 as an irrational no. Please do all the steps
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let 2-√3 is a rational number
squaring the term
(2-√3)^2 = 4 + 3 - 4√3 is a rational number
{(a-b)^2 = a^2 + b^2 -2 ab}
(2-√3)^2 = 7 - 2√3 is a rational
but (2 - √3)^2 being the sum of a rational and an irrational is irrational.
thus, we arrive at a contradiction .
this contradiction arises by assuming that (2-√3) is rational.
so, (2-√3) is irrational.
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