Question

fprove that 3+2√5 irrational​

Answer 1

Let us assume that 3/2√5 is rational

3/2√5=p/q(where p and q are integer and coprime)

√5= 3q/2p

3q/2p is rational

But √5 is rational

This contradiction has arisen because of wrong assumption that 3/2√5 is rational

Hence 3/2√5 is irrational.

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