# How to Quickly Find Square of Any Number Ending in 5

Finding square of any number with unit’s digit being 5 is the most common, yet very interesting trick of Vedic Maths. Using this technique you can find the square of any number ending in 5 very easily. Also explore a quick method of squaring numbers ending in 9. Given below is the step by step explanation of this **Vedic Maths Method**.

Let us take a 2 digit number in generic form, say the number is a5 (=10a+5), where a is the digit in ten’s place

Square of a5= a x (a+1) | 25

That means a is multiplied by the next higher number, i.e. (a+1). Now let’s take example of a real number ending in 5, say 45.

45^{2} = Left hand side of the answer will be 4 multiplied by its successor i.e. 5 and the right hand side part will always be 25 for squares of numbers of which the unit’s digit is 5.

Giving the answer a x (a+1) | 25 ( | stands for concatenation}

i.e. 4 x (4+1) | 25 = 4 x 5 | 25 = 2025

Similarly we can proceed for 3 digit numbers ending in 5

Few more examples:

95^{2}=9 x 10 | 25 =9025

125^{2} = 12 x 13 | 25 = 15625

505^{2} = 50 x 51 | 25 = 255025

Test yourself

Find out the square of 85, 245, 145, 35, 15, and 95?

Answer: 7225, 60025, 21025, 1225, 225, 9025

Please let us know if you like this Vedic Maths trick

Well Vineet I emailed this trick to you and I thought that you are not greedy you must have mentioned earlier you mentioned the name probably you have become greedy. Sorry I stop using Quickermaths.

Sorry some mistyping I said earlier you mentioned to whom a trick belongs and who told you that but you didn’t mention my name this time.

Dear Vishal:

FYI this trick was posted in July 2009. You emailed me this in 2014. Hence I shall request you to be little more considerate in choosing your words.

Thanks anyway for sending in the trick again.

how to solve (1728)^1/3, (912673)^1/3, (15625)^1/3

vedic maths is awesome. it extinguishes the fear of maths

maths triki send my email

Oh that’s a great thing for us,the students

thanks vedic

wonderful and easy ways to weed out the mathematics “fear”…..