Coffee Room

Discuss anything here - everything that you wish to discuss with fellow engineers.

12920 Members

Join this group to post and comment.

# 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

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

**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 😀

**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...

**hello ashima**

check out the vedic mathematics workshop3.

**hmm....**

well wherz dat???integratdbrainscheck out the vedic mathematics workshop3.

**link**

here is the link to

**Vedic Mathematics Work Shop - 3**

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 😁

Means 73*11= 7 (7+3=10)3=7103..is it so???aashimanice 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...

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...

**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!

integratdbrainsCome 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

**easy !**

Easy there everyone!

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

**-The Big K-**

crazyboyMeans 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???

**oops....**

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

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

Good job, Aditi 😁

Can we have more workshops on VM !

Can we have more workshops on VM !

**-The Big K-****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 😉

Bumping this thread.

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

-CB

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

-CB