prove that 5-root 3 is irrational
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Let 5 - √3 be rational no.
5 - √3 = p/q (where p and q are co prime and q ≠0)
5 - p/q = √3
In LHS there is rational and in RHS there is Irrational no. This is not possible. This contradicts our equation that p and q are co prime. This contradiction arise due to our wrong assumption.
Thus 5 - √3 is Irrational no.
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