prove that 5+√5 is an irrational number
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hey mate, here is your answer
let us assume that 5+√5 is an rational number that can be written in the form of a/b.
5+√5=a/b
√5=a/5b
so, 5+√5 is an rational number but it contradicts our fact that √5 is an irrational number.so, our assumption is wrong, 5+√5 is an irrational number.
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