show that 3+√5 is irrational
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answer: Prove that 3+√5 is an irrational number.
Prove that 3+√5 is an irrational number.Let us assume 3+√5 is a rational number. If it is a rational number then it can be expressed in the form of pq where p and q are integers and q≠0. As both p and q are integers, so p−3q is also an integer. ... ⇒√5 = p−3qq is also a rational number.
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