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Proof That 2 root 5 irrational

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Proof That 2 root 5 irrational
  • 2 answers

Bhoomika Verma 4 years, 8 months ago

Let as assume that to the contrary ,that 2√5 is rational. 2√5 =a/b (a and b is coprime and integers and q is not equal to 0 ) √5=a/2b a and b are integers , a/2b is rational , and so √5 is rational . But this contradicts the fact that √5 is irrational . This contradiction has arisen becz of our assumption was wrong that 2√5 is rational. Hence 2√5 is irrational number.

Basant Kumar Mahto 4 years, 8 months ago

Let 2√5 be rational number.it can be written in the form of p/q. 2√5=p/q √5=p/q. 1/2 We know that √5 is irrational number. It has arisen our assumtion is worng that 2√5 is rational number. Hence 2√5 is irrational number.
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