Math, asked by thesun1, 1 year ago

therom .. prove that √3 is an irrational number​

Answers

Answered by thedevil12
1

this is your answer proof

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Answered by aparnahvijay
1

Hii buddy..

Answer:

Let us assume the country that root 3 is a rational number such that there exist two integers A and b where root 3 equal to a by b since a divided by b is coprime

Therefore √3= a/b

By squaring on both sides

3= (a/b)²

Which implies 3= a²/b²

Which implies 3b² =a²

Lets a= 3 *c , where c is an integer

a² =9c²

Which implies 3b²= 9c²

b² =3c²

This contradicts assumption that a and b have no common factors because a and b have common factor three so our assumption is wrong that root 3 is rational therefore root 3 is irrational

Hopes it helps

Mark brainiest if so

✌✌✌


thesun1: sorry but upside perfect answer with steps
aparnahvijay: Ok..no problem
thedevil12: good
thedevil12: your answer is also very good
aparnahvijay: Hmm.. thanks
thedevil12: what is meaning of Hmm many are comment but I cant understand
aparnahvijay: Yeah
aparnahvijay: That's the meaning
thedevil12: follow
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