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Prove that root 2 is rational number

Answer» Let rooot be a rational number √2=a/b where a,b are co primeSquaring 2=a²/b²,,b² is divisible by 2 b is also divisible by 2 Let a=3cB²=c²/3 c² is divisible by 2C is also divisible by 2So root is a rational number which contradict that it is irrational..this contradiction has arises bcz of our wrong assumption..so root 2 is irrational
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