Proof That 2 root 5 irrational

1.	Proof That 2 root 5 irrational
Answer» 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. Let 2√5 be rational number.it can be written in the form of p/q.2√5=p/q√5=p/q. 1/2We 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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