# 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
3 years, 4 months ago

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Nice observation. Do you know why this is true?

Staff - 3 years, 4 months ago

Means?

- 3 years, 4 months ago

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

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

Staff - 3 years, 4 months ago

I proved it using algebra☺️

- 7 months ago

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

- 2 years, 7 months ago

Sorry but I cant explain the reason

- 3 years, 4 months ago