Show that the square of any positive integers can not be of the form sq+2 or 5q+3 for any integers q
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Hi. Just use the division algorithm .
Take a be any positive integer and b=5 then r=01234
a=5q+r
Put the values of r and square it. Then represent it in the form 5m or 5m+1 or 5m+4. Hope you understand
I have not solved it completely because i want
You to do it yourself and learn
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