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Let 3+2√5 is irrational

Answer» Let 3+2√5 is rational 3+2√5 = p\\qSubtract 3 both side2√5= p\\q-3 2√5= p-3q\\2Now, divide by 2 √5= p- 3q\\2q Hence, p and q are integers so p-3q \\ 2q are irrational numbers so √5 should rational number but √5 is irrational number so it is contradict a jact so 3+2√5 is irrational


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