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CBSE Class 10 Maths (Basic) 2024 · Paper 430/4/1 · Question 30

Real Numbers 3 marks Hard
Prove that is an irrational number, if it is given that is an irrational number.

Answer

is irrational. Assuming (integers , , ) gives , which would be rational, contradicting the given fact that is irrational. Hence proved.

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