Question

prove that the square of any positive number can be of the form of 5m or 5m+1


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Answer 1

Answer:

Here the term 25m2 is divisible by 5 and the term 10m is also exactly divisible by 5. Therefore it leaves the remainder 1. And 36 when divided by 5, leaves the remainder 1. Therefore square of any positive integer is of the form 5m+1 will leave the remainder 1 when divided by 5 for some integer m.