1.

Given that root 2 is an irrational number PT 5+3root2 is an irrational number

Answer»

let 5+3√2 be rationalthen5+ 3 √2 = p/q3√2 = p/q -5√2 = (p - 5q)/15But LHS is irrational and RHS is rational so a contradiction , therefore 5+3√2 must be irrational



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