A positive integer a is exactly equal to the square of another number B, then a is called a complete square number. For example, 36 = 6, 36 is a complete square number If M = (2008 times 2009) + (3 times 2010) - 3, we prove that M is a complete square ...

A positive integer a is exactly equal to the square of another number B, then a is called a complete square number. For example, 36 = 6, 36 is a complete square number If M = (2008 times 2009) + (3 times 2010) - 3, we prove that M is a complete square ...

M should end up with - 2
Let a = 2008
Then 2009 = a + 1
2010=a+2
So m = a (a + 1) + 3 (a + 2) - 2
=a²+a+3a+6-2
=a²+4a+4
=(a+2)²
So m is a perfect square

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