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Proof by Contradiction Method, Definition of Irrational Numbers | PadhAiPro

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TextProof by Contradiction MethodDefinition of Irrational NumbersCBSE PYQ

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Prove that √3 is an irrational number.

TextFundamental Theorem of ArithmeticPrime Factorisation of Natural NumbersIrrationality of Square Root of Prime NumbersProof by Contradiction Method

Fundamental Theorem of Arithmetic

Prime Factorisation of Natural Numbers

Irrationality of Square Root of Prime Numbers

Proof by Contradiction Method

State true or false for each of the following statements and justify in each case :

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Prove that √2 is an irrational number.

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Let x and y be two distinct prime numbers and p = x²y³, q = xy⁴, r = x⁵y². Find the HCF and LCM of p, q and r. Further check if HCF (p, q, r) × LCM (p, q, r) = p × q × r or not.

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Which of the following is an irrational number ?

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Prove that √5 is irrational.

TextIrrationality of Square Root of Prime NumbersProof by Contradiction Method

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