2-√3 is an irrational no. Prove that

1.	2-√3 is an irrational no. Prove that
Answer» Please 5 ki jagah 2 rakhna . Baki sabh teekh hai. • Let us assume , to the contrary , that 2 - root 3 is rational.•That is ,we can find coprime a and b (b= not epuals to 0) such that 2- root 3= a/b.• Therefore , 2- a/b= root 3.• Rearranging this equation, we get root 3 = 5-a/b= 5b-a/b.• Since a and b are integers, we get 5-a/b is irrational, and so root 3 is rational.•But this contradicts the fact that root 3 is irrational.• This contradiction has arisen because of our incorrect assumption that 5-root 3 is rational.• So , we concluded that 5-root 3 is irrational.● HENCE PROVED

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