Question: Problem 2. Show that for any integer :1, its square in, is always of the form 51%, 5!: | 1 or 516 + 4 for

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Problem 2. Show that for any integer \":1, its square in,\" is always of the form 51%, 5!: | 1 or 516 + 4 for some integer k. Using this or otherwise, show that no perfect square has 3 at its unit place. Here the "unit place" is the last digit in the decimal representation of an integer, e.g. 543 has 3 at its unit place, and 45678 has 8 at its unit place

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