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squares of *5 numbers

If there is a number ending with 5 then it's square can be found easily by the following method. For example lets take the number 135. Then to find its square first replace the ending 5 by 25. Then, multiply the remaining number by its successor.(Here, multiply 13 by its successor, i.e., 14) 135^2=(13 * 14)_25 =182 _ 25=18225

Note by Akash Gupta
2 years, 12 months ago

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Nice observation. Do you know why this is true?

Calvin Lin Staff - 2 years, 12 months ago

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Means?

Akash Gupta - 2 years, 11 months ago

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Sorry, it should have been "why" instead of "what" (edited).

Do you know how to explain the pattern that you observed?

Calvin Lin Staff - 2 years, 11 months ago

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@Calvin Lin I proved it using algebra☺️

Akash Gupta - 2 months ago

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@Calvin Lin Ya, I have explained it on my blog. Please refer to it. http://www.brainuser1.blogspot.in/2015/09/square-of-5.html

Akash Gupta - 2 years, 2 months ago

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@Calvin Lin Sorry but I cant explain the reason

Akash Gupta - 2 years, 11 months ago

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