Prove that 5+√3 is irrational
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let us assume that 5+ underroot 3 is a rational number
5+underroot 3 = a/ b ( here a and b are coprime number)
underroot 3 = a/ b - 5
underroot 3 = a - 5b / b ( take LCM)
here (a - 5b/ b) is also a rational number
so our assumption is wrong
5 + underroot 3 is irrational number...
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