Show that any number of the form 4ⁿ can never end with the digit 0.

Question

TextFundamental Theorem of Arithmetic

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Prove that √3 is an irrational number.

TextFundamental Theorem of ArithmeticPrime Factorisation of Natural NumbersIrrationality of Square Root of Prime NumbersProof by Contradiction Method

Fundamental Theorem of Arithmetic

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Irrationality of Square Root of Prime Numbers

Proof by Contradiction Method

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Check whether 6ⁿ can end with the digit 0 for any natural number n.

TextFundamental Theorem of ArithmeticPrime Factorisation of Natural Numbers

February 14 is celebrated as International Book Giving Day and many countries in the world celebrate this day. Some people in India also started celebrating this day and donated the following number of books of various subjects to a public library : History = 96, Science = 240, Mathematics = 336. These books have to be arranged in minimum number of stacks such that each stack contains books of only one subject and the number of books on each stack is the same. Based on the above information, answer the following questions :

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