prove that 3+√5 is a irrational number
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let the 3+√5 is a rational
3+√5=p/q
√5=p/q-3
since p/q-3 is a rational but
√5 is a irrational
But this contradicts the fact that √5 is irrational
Therefore we conclude that 3+√5 is a irrational
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