Question

prove that 5+√3 is irrational number
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Answer 1

5+√3=a/b(a and b are co-primes )

√3=a\5b

Hear,R. H.S value is rational.then,L.H.S is also rational.but,this is contradiction . because,√3 is irrational

Hence,5+√3 is a irrational.