Squaring of a number consisting only of threes

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Rule :
Write the 0 and 9 with one minus the no of the 3’s given.Then to left of 0 increment it by 1. To left of 0 write two 8’s. ( p-1) no of 1’s / 0 /(p-1) no of 8’s /9
Lets look at the following examples:-
Example 1:-
333^2 =
Here p=3
Therefore, 333^2 =
= (3-1) no of 1’s / 0/(3-1) no of 8’s /9
= 11/0/88/9
Example 2 :-
33^2 =
Here p=2
1/0/8/9
  Therefore ,33^2 =1089

Example3 :
33333^2 =
Looks like it is difficult ?
Here we go with same logic….
p=5
Therefore, (1111) /0/(8888)/9
33333^2 =1111088889

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About Praveenkumar P Kalikeri

ABOUT US Hey,Thanks for dropping by .First I would like to Appreciate for your love towards the Mathematics Subject. My name is Praveenkumar Kalikeri. I'm an Engineering Student from Karnataka , India. My Passion for Mathematics , encouraged me to start this blog . I Started loving the Mathematics subject from my schooling days.I was greatly motivated by teachers, parents who always helped me .        Numbers have Beauty !! They fascinated me .. As we all know best method to try out something new is to study old theories , concepts , its drawbacks, etc. I ,myself Started learning Vedic Mathematics at age of 15. Here , I will share vedic maths tricks learned and modified by me in simple manner which will be useful in various competitive exams. "If You Believe , You Can Do".
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2 Responses to Squaring of a number consisting only of threes

  1. Richard Dubois says:

    Squaring numbers consisting of only 6’s is just as easy.

    6^2 = 36 so we will have a 3 and a 6 in number like this :

    …………/ 3 / ……….. / 6

    so if we had to square 66666^2 = ? we can work it out like this :

    there are 5 sixes so we will put one less ( 5 – 1 = 4 ) fours in the answer.

    4444 / 3 / ………. / 6

    now put an equal number of 5’s to the left of 6.

    4444 / 3 / 5555 / 6

    so the answer is 4444355556.

    Liked by 2 people

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