given root 3 is an irrational number prove that 2 minus root 3 is an irrational number
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Step-by-step explanation:
Let 2 - √3 = p/q (rational) where p and q are integers , q non zero
2 - p/q = √3
(2q-p)/q = √3
LHS is rational and RHS is irrational – contradiction
2 - √3 is irrational
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