Show that square of an odd positive integer is of the form 8q + 1, for some positive integer q.

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TextFundamental Theorem of Arithmetic

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Prove that √3 is an irrational number.

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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.

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If 1080 = 2^p × 3^q × 5, then (p − q) is equal to :

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State the "Fundamental Theorem of Arithmetic" and use it to find LCM of 36 and 54.

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