prove that 5+√5 is irrational
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Let assume that 5+√5 is rational number.
5+√5 = a/b [where a,b are integers b≠0]
√5=a/b-5
√5=a-5b/b [by lcm]
where a-5b/b is rational number and √5 is a rational number.But contradicts that √5 is a irrational number and 5+√5 is irrational number.
HENCE YOUR ASSUMPTION IS ''WRONG''
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your answer
thanks my answer
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