prove that 5-√2 is irrational
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To be contrary 5-√2 is rational number such that a & b are co prime
5-√2= a/b
√2=a/b-5
√2 = a-5b/b
since a-5b/b is a rational number. so √2 must be a rational number but √2 is a irrational number.
hence our assumption is wrong.So 5-√2is a irrational number
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