Prove square root 3 is irrational number

Prove square root 3 is irrational number To prove that \sqrt{3} is an irrational number, use proof by contradiction.[teachoo +2] Assumption Assume, on the contrary, that \sqrt{3} is rational.[teachoo] Then it can be written in lowest terms where a and b are integers with no common factor other than 1, and b \neq 0.[doubtnut +1] Squaring and first divisibility Square both sides: Contradiction and conclusion Now both a and b are divisible by 3, so they have a common factor 3 Step 1: State what to prove Step 2: Assume the opposite Step 3: Square both side Class 10th maths Basic math #maths #class10th X maths Chapter 1 Cbse maths