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Which of the following cannot be the unit digit of 8ⁿ, where n is a natural number ?
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
Prove that √3 is an irrational number.
State true or false for each of the following statements and justify in each case :
If x = ab³ and y = a³b, where a and b are prime numbers, then [HCF (x, y) – LCM (x, y)] is equal to :
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