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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 + b2 formula as explained above.
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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 + b2 formula as explained above.
- First of all, find the a 2 i.e., 6 2 = 36.
- Now find the b 2 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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thnq good one
ReplyDeletePeople 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.
ReplyDeleteExample : 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...
i was looking for these shortcut methods...and now feeling pretty good...thanx a ton...:)
ReplyDeletethanks ........
ReplyDeletevery simple it is really hlpfl thank u
ReplyDeletemujhe ye puchna hai ke aap ye tricks search kaha se karte ho ,very sharp mind
ReplyDeletecan i also make shorcuts of problems ?
wow super .........now i can able to calculate any square of number.......great blog......great article......love you .mam/sir.......god bless you
ReplyDeletewow
ReplyDeletei understood the power of this technique while applying it for large 4digit number. really its amazing...
ReplyDeleteGood work
ReplyDeletekya q-tiyapa hai ye
ReplyDeleteSorry 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...
DeleteGood Day
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.
ReplyDeleteSure 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...
Deletethanks for the concern
Kumar can u mail me dat technic to my mail..pls....keerthijaasi55@gmail.com...tanq
Deletekumar can u mail me plzz cakkaushik@gmail.com
Deletegood technic
ReplyDeletenice method ,so easy to undrstnd....
ReplyDeletethis site z so good....n techs r pretty gud..
ReplyDeletegood....
ReplyDeletegood work really very helpful
ReplyDeleteIf 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....
ReplyDeleteThanx Shelza :)
DeleteThank Shelza:)
Deletethanks shelza ur method is superb.....
DeleteThanks a lot.Really very help full
ReplyDeletethanks mam
ReplyDeleteGood Technic......
ReplyDeletethanks.....once and for all.
ReplyDeleteit makes me better in calculations.
wowwwwwwwwwwwwwwwwwwwwwwwwwww!!!!!!!!!!!!!!!! suprbbbbbbbbbb
ReplyDeleteawesome
ReplyDeletewooooowwwwwwwwwwwwwwwwwwwwwwww
ReplyDeletethis shortcut is good,... can i know any shortcut for 3digit no. also
ReplyDeletereally supperbbb.......
ReplyDeletegood. but if ques have three digit like 358. how to find square this number? plz clarify
ReplyDelete358 is broken as 300 + 58. then square of 300 + 2* 300*58 + square of 58 .
Deletethat is 90000+ 34800 + 3364 = 128164
if ques have 3 digit or 4 digit how to find?
ReplyDeletethanx mem
ReplyDeletethanx
ReplyDeletehow saerch intermideate books and pre pepars in maharastra board
ReplyDeletehow saerch intermideate books and pre pepars in maharastra board
ReplyDeletei think 56*56 multiply ordinarily will be quicker than this long time taking method
ReplyDeletevery useful technique and very useful site as well
ReplyDeleteThanks a lot for ur help.I really like the tricks n ur website,thx a lot
ReplyDeleteThanks for ur help, but how to use for 3 or 4 digit numbers
ReplyDeleteI am not getting answer for 82,93 can any one help me
ReplyDelete82- a.a 04
Delete2ab 32
b.b 64
--------------
6724
82- a.a 04
Delete2.a.b 32
b.b 64
add ------------------
6724
93- a.a 09
Delete2.a.b 54
b.b 81
add ----------------
8649
i am not getting answer for 82,92 can any one help me
ReplyDeleteI am not getting answer for 82,93 can any one help me
ReplyDelete93*93
ReplyDeletea^2 9
2ab 54
b^2 81
--------
8649
Its really very good & speedy also. Thanku
ReplyDeleteThank u. Is there any technique for 3 digits square
ReplyDeleteThank you.........................................
ReplyDeleteWill Give U New Shortcut Methed
ReplyDeleteIts 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
Will Give U New Shortcut Methed
ReplyDeleteIts 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
Will Give U New Shortcut Methed
ReplyDeleteIts 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
Sir really it is amazing method, it help me a lot thank u sir u work is super b
ReplyDeletereally it was helpful
ReplyDeletetry dis one
ReplyDeletefind 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
Today I start learning using this trick. Thank you.
ReplyDelete