Question

Prove that √3 is an irrational nuniber.​

Answer 1

Answer :

root 3 is a irrational number

Explanation :

we should prove that root 3 is irrational

let us assume the opposite

I.e, root 3 is rational

hence root 3 can be written in the form of a/b

where a and b (b is not equal to 0 ) and are co prime

( no common factor other than 1 )

hence root 3 = a/b

root 3 b = a

squaring on both sides

( root 3 b)² = a ²

root3b² = a²

3b²=a²

a²/3 = b²

hence it is proved that root 3 is a irrational number

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