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Prove that 5 − 2√3 is an irrational number. It is given that √3 is an irrational number.
Show that the number 5×11×17+3×11 is a composite number.
Which of the following cannot be the unit digit of 8ⁿ, where n is a natural number ?
Assertion (A) : For any two prime numbers p and q, their HCF is 1 and LCM is p + q. Reason (R) : For any two natural numbers, HCF × LCM = product of numbers.
Prove that √5 is an irrational number.
Let p, q and r be three distinct prime numbers. Check whether p · q · r + q is a composite number or not. Further, give an example for 3 distinct primes p, q, r such that
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