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May 14, 2012

Finding the Square of the given Number

62 comments

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In this post we shall discuss about the Shortcut of finding the Square of the Given Number. This is very easy and Simple method. All the you need to learn this method is little concentration and little patience. Remember friends, To make you understand the process clearly, we are posting the process in Step by Step process. But you have to do all these steps Mentally and you should Only write the Answer on Paper... 

Lets start with an example. Assume that you have to find the Square of the number 38.

So, the general process is 382  multiplying 38 with itself. But this process take much time and effort. So, instead of calculating 38 X 38, just use the formula a2 + 2ab + b2

But here you should apply a little trick. If you apply the above formula as it is... you cant get the answer... Just do as mentioned below.









Now, follow the below mentioned steps








































Thats it... The answer is 1444.

Now lets have a look at another example. Lets see how to find out the square of 56. I mean 562.

Now treat 6 as a, and 5 as b and apply the a2 + 2ab + bformula as explained above.


  • First of all, find the a 2 i.e., 6 2 = 36. 







  • Now find 2ab i.e., 2 X 6 X 5 = 60










  • Now find the b i.e.,  5 2  =  25, now  add this 25 to 6 = 31. And put this before the numbers 3 6. So it will become 3 1 3 6
  • This is our answer 56 2 = 3136
Advantages of this Method :
  • We are dividing the given number into two small numbers and then performing calculations on those smaller numbers. So that you can do calculations Mentally in very easy way. 
  • Initially you may think that this method is little confusing. Just do 3 or 4 problems, so that you can find the advantage of this method.
If you have any Comments, please use the comments box below. Please tell your friends about us if you like this Post.. Good Day and Happy Reading :)

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62 comments:

  1. People are asking US for the method of finding the Squares of 3 and 4 digit numbers. Its also the same process as above. Just divide the given number into two numbers (as a and b) according to your convenience.

    Example : if you want to find the square of 118, then just divide it into two parts as 11 (this is b) and 8 (this is b) and apply the process...

    ReplyDelete
  2. i was looking for these shortcut methods...and now feeling pretty good...thanx a ton...:)

    ReplyDelete
  3. very simple it is really hlpfl thank u

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  4. mujhe ye puchna hai ke aap ye tricks search kaha se karte ho ,very sharp mind
    can i also make shorcuts of problems ?

    ReplyDelete
  5. wow super .........now i can able to calculate any square of number.......great blog......great article......love you .mam/sir.......god bless you

    ReplyDelete
  6. i understood the power of this technique while applying it for large 4digit number. really its amazing...

    ReplyDelete
  7. kya q-tiyapa hai ye

    ReplyDelete
    Replies
    1. Sorry Brother.. We are not conducting classes on how to speak. So this post wont help you at all.. Please go home and ask your mother to teach how to speak...

      Good Day

      Delete
  8. I can give the more reliable method for finding square, my method is similar to urs but little easy, if u allow me then i can explain it mam.

    ReplyDelete
    Replies
    1. Sure Kumar.. If you feel your method is more easier, then please feel free to share that with our friends... Better mail us at "Gr8AmbitionZ@gmail.com" so that we will update it in a new post with your name...

      thanks for the concern

      Delete
    2. Kumar can u mail me dat technic to my mail..pls....keerthijaasi55@gmail.com...tanq

      Delete
    3. kumar can u mail me plzz cakkaushik@gmail.com

      Delete
  9. nice method ,so easy to undrstnd....

    ReplyDelete
  10. this site z so good....n techs r pretty gud..

    ReplyDelete
  11. good work really very helpful

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  12. If its Confusing, it can b broken as 30+8 then 900+2.30.8+64 =1444 and there will b no confusion where to place which value... work to b done is same....

    ReplyDelete
    Replies
    1. Thanx Shelza :)

      Delete
    2. Thank Shelza:)

      Delete
    3. thanks shelza ur method is superb.....

      Delete
  13. Thanks a lot.Really very help full

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  14. Good Technic......

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  15. thanks.....once and for all.
    it makes me better in calculations.

    ReplyDelete
  16. wowwwwwwwwwwwwwwwwwwwwwwwwwww!!!!!!!!!!!!!!!! suprbbbbbbbbbb

    ReplyDelete
  17. wooooowwwwwwwwwwwwwwwwwwwwwwww

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  18. this shortcut is good,... can i know any shortcut for 3digit no. also

    ReplyDelete
  19. really supperbbb.......

    ReplyDelete
  20. good. but if ques have three digit like 358. how to find square this number? plz clarify

    ReplyDelete
    Replies
    1. 358 is broken as 300 + 58. then square of 300 + 2* 300*58 + square of 58 .
      that is 90000+ 34800 + 3364 = 128164

      Delete
  21. if ques have 3 digit or 4 digit how to find?

    ReplyDelete
  22. how saerch intermideate books and pre pepars in maharastra board

    ReplyDelete
  23. how saerch intermideate books and pre pepars in maharastra board

    ReplyDelete
  24. i think 56*56 multiply ordinarily will be quicker than this long time taking method

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  25. very useful technique and very useful site as well

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  26. Thanks a lot for ur help.I really like the tricks n ur website,thx a lot

    ReplyDelete
  27. Thanks for ur help, but how to use for 3 or 4 digit numbers

    ReplyDelete
  28. I am not getting answer for 82,93 can any one help me

    ReplyDelete
    Replies
    1. 82- a.a 04
      2ab 32
      b.b 64
      --------------
      6724

      Delete
    2. 82- a.a 04
      2.a.b 32
      b.b 64
      add ------------------
      6724

      Delete
    3. 93- a.a 09
      2.a.b 54
      b.b 81
      add ----------------
      8649

      Delete
  29. i am not getting answer for 82,92 can any one help me

    ReplyDelete
  30. I am not getting answer for 82,93 can any one help me

    ReplyDelete
  31. 93*93

    a^2 9
    2ab 54
    b^2 81
    --------
    8649

    ReplyDelete
  32. Its really very good & speedy also. Thanku

    ReplyDelete
  33. Thank u. Is there any technique for 3 digits square

    ReplyDelete
  34. Thank you.........................................

    ReplyDelete
  35. Will Give U New Shortcut Methed
    Its is called 25-50 method
    1. suppose we have to find a squre of 43 then
    substrec 43-25=18
    Substrect 50-43=7 now squre of 7= 49
    answer is 1849

    2. Suppose suppose we have to find a squre of 59 then
    then 59-25 = 34
    and 59-50=9 squre of 9 is 81
    the answer is 3491

    ReplyDelete
  36. Will Give U New Shortcut Methed
    Its is called 25-50 method
    1. suppose we have to find a squre of 43 then
    substrec 43-25=18
    Substrect 50-43=7 now squre of 7= 49
    answer is 1849

    2. Suppose suppose we have to find a squre of 59 then
    then 59-25 = 34
    and 59-50=9 squre of 9 is 81
    the answer is 3491

    ReplyDelete
  37. Will Give U New Shortcut Methed
    Its is called 25-50 method
    1. suppose we have to find a squre of 43 then
    substrec 43-25=18
    Substrect 50-43=7 now squre of 7= 49
    answer is 1849

    2. Suppose suppose we have to find a squre of 59 then
    then 59-25 = 34
    and 59-50=9 squre of 9 is 81
    the answer is 3491

    ReplyDelete
  38. Sir really it is amazing method, it help me a lot thank u sir u work is super b

    ReplyDelete
  39. really it was helpful

    ReplyDelete
  40. try dis one
    find sq of 43
    here 1st we take sq of (3 = 9)
    in 2nd step we do (4*3*2 = 24)
    in 3rd step we take sq of (4 = 16)
    now add dem 1849

    ReplyDelete
  41. Today I start learning using this trick. Thank you.

    ReplyDelete

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