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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 :
Assertion (A) : Unit digit of 3ⁿ cannot be an even number for any natural number n. Reason (R) : 2 is not a prime factor of 3ⁿ for any natural number n.
If 1080 = 2^p × 3^q × 5, then (p − q) is equal to :
n² – 1 is divisible by 8, if n is
State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.
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