Question mumbers 23 to 30 carry 4 marks each.s Prove that v2 is an irr

1.	Question mumbers 23 to 30 carry 4 marks each.s Prove that v2 is an irrational number Hence show thatis also an irrational number.
Answer» Given √2 is irrational, let 3/√(2) be rational so, 3/√2 = p/q , where q is not 0 , HCF(p,q) = 1 √2 = 3q/p So, we see RHS is not equal to LHS as LHS is irrational and LHS is rational.Therefore a contradiction, so 3/√2 is irrational

Question mumbers 23 to 30 carry 4 marks each.s Prove that v2 is an irrational number Hence show thatis also an irrational number.

Answer»

Given √2 is irrational,

let 3/√(2) be rational so,

3/√2 = p/q , where q is not 0 , HCF(p,q) = 1

√2 = 3q/p

So, we see RHS is not equal to LHS as LHS is irrational and LHS is rational.Therefore a contradiction, so 3/√2 is irrational