# VM5 - Square of any no.

Now till now you know the square of the no. having 5 and 0 at their end...
Now some other...
Square of the no just 2 next to them..(having 0 and 5 as last digit) means 27,32,37,42,47....like that

Easy....
The fanda here is ...
Add the square of the previous no + nth odd no.
For eg . 32^2
= (30)^2 + 31st Odd no. (which is 2n-1, where n starts from 1...means 61) + 32nd Odd no. (which is 2n+1, where n starts from 1...means 61)so square of 31 is 900 + 61+63 = 1024...
or simply add sqaure of 30 + 4n ---- ??? think why 4n (its 2n-1 +2n+1)

from my side.Next lesson will be on monday..... JJ
till than bbye

## Replies

• integratdbrains
i would prefer a diff technique!

for numbers ending in 1 i would rather prefer (a+b)^2 formula!
as u will be knowing this most loved and basic formula in algebra
(a+b)^2=a^2+2ab+b^2
so any number ending in 1
for eg:31^2 the formula will go this way (30+1)^2=30^2+2*30*1+1=900+60+1=961
in short square the round figure number and add twice the round figure and at last add 1 ! same is applicable for numbers ending in 9 but instead of the '+' formula use '-'.!
for eg:29^2=(30-1)^2=30^2-2*30+1=841 😀
• aashima
kool ones....

nice techniques ... wud be helful a long way ... am sure...

well with that note i have an easy way of MULTIPLYING ANY NUMBER WITH 11...

we know the table till 10... for higher numbers... foe e.g. any 2 digit number... ad the two digits of the number and put the sum berween the digits....

it goes like... for 35... 3+5=8
then 11*35 will be 385..
simple...
• integratdbrains
hello ashima

check out the vedic mathematics workshop3.
• aashima
hmm....

integratdbrains
check out the vedic mathematics workshop3.
well wherz dat???
• crook

Great job crazyboy, integratdbrains, aashima !

I am sure this is going to be useful to lot of ceans.

I will try to add something too 😁
• Anil Jain
aashima
nice techniques ... wud be helful a long way ... am sure...

well with that note i have an easy way of MULTIPLYING ANY NUMBER WITH 11...

we know the table till 10... for higher numbers... foe e.g. any 2 digit number... ad the two digits of the number and put the sum berween the digits....

it goes like... for 35... 3+5=8
then 11*35 will be 385..
simple...
Means 73*11= 7 (7+3=10)3=7103..is it so???
which is wrong

Or it is 1 carry over so it will make it ??
7+1=803???

Do let me correct if i am wrong...
• integratdbrains
Come on!

Come on buddy i don't think there's need of this post.. cuz u already know the answer and she may have been fallen short of explaining in detail!
• Anil Jain
integratdbrains
Come on buddy i don't think there's need of this post.. cuz u already know the answer and she may have been fallen short of explaining in detail!

--Crazy
• Kaustubh Katdare
easy !

Easy there everyone!

Keep up the good work, crazyboy, Integratdbrains, aashima !

-The Big K-
• aashima
crazyboy
Means 73*11= 7 (7+3=10)3=7103..is it so???
which is wrong

Or it is 1 carry over so it will make it ??
7+1=803???

Do let me correct if i am wrong...

well i guess thats pertty obvious that in case of a sum resulting in two digit ... it shud be trasferred as a carry to get the right solution and u very well solved it too....

so is there any point of correcting u???
• aashima
oops....

integratdbrains
check out the vedic mathematics workshop3.
i just did not notice this before... its absolutely same 😀 well wont let it go this way again 😉

thanks for the updation newaz
• here is another method to find square of a no..

2 digit number :

For example: To find the square of 34, start from left hand and following r the steps.
34
1)3^2 = 9
2)2*(3*4) = 24
3)4^2 = 16

4) now we write 9/24/16 ( start writing number from right hand taking only unit's digit and others as carry)

5)the result is 1156

3 digit number :

Example 234, steps are

1) 2^2 = 4
2)2*(2*3) = 12
3)2*(2*4) + 3^2 = 25
4)2*(3*4) = 24
5)4^2 = 16

so we write result as 4/12/25/24/16 and adding by same method

result is 54756

Similarly square of 345 :
9/24/46/40/25 = 119025

square of 4 digit number :

1234

1) 1^2 = 1
2) 2*(1*2) = 4
3) 2*(1*3) + 2^2 = 10
4) 2*{ 1*4 + 2*3 }= 20
5) 2*(2*4) + 3^2 = 25
6) 2*(3*4) = 24
7) 4^2 = 16

so write as 1/4/10/20/25/24/16 = 1522756

similarly square of 4512 : 16/40/33/26/21/4/4 = 20358144

So U can proceed same rule to find squares of other numbers also
• Kaustubh Katdare

Can we have more workshops on VM !

-The Big K-
• aashima
good one

Nice information by aditi. Keep it up. Looking forward to some more knowledgeable stuff in this thread. I wish i could have a maths subject in my curriculum once again 😉
• Anil Jain

For sure - CEan's who likes maths would love this thread.

-CB

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