A natural number m is called a perfect square number if it can be expressed as where n is also a natural number. For example, 4 is a perfect square number because it is a natural number and it can be expressed as and 2 is also a natural number.
Please go through the article on perfect square numbers if you want better understanding on what are perfect square numbers. If you are given a list of numbers, can we rule out numbers from the list which are definitely not perfect square numbers. … [Continue reading]
We have a property $$(a+b)^2=a^2+b^2+2ab$$ Can we easily find the value of $$54^2$$ using the above property? … [Continue reading]
If you want to recall what are perfect square numbers then please refer to my article on What are the perfect square numbers. This article asks a question that how many natural numbers lie between two consecutive perfect square numbers. You can also … [Continue reading]
If you take a look at sum of first n odd numbers, you can notice very interesting pattern. 1 = 1 $$= 1^2$$ 1 + 3 = 4 $$=2^2$$ … [Continue reading]