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Prove that √3 is an irrational number.
State true or false for each of the following statements and justify in each case :
n² – 1 is divisible by 8, if n is
Assertion (A): Every positive even integer is a multiple of 2. Reason (R): The Fundamental Theorem of Arithmetic ensures the unique prime factorization of integers greater than 1.
Show that any number of the form 4ⁿ can never end with the digit 0.
Check whether 6ⁿ can end with the digit 0 for any natural number n.
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