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EASIEST METHOD TO FIND SQUARE OF A TWO DIGIT NUMBER

Scorching goIITian

Posted on
21 Apr 2012 11:38:32 IST
Posts: 213
21 Apr 2012 11:38:32 IST
28 people liked this
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EASIEST METHOD TO FIND SQUARE OF A TWO DIGIT NUMBER

Let the two digit number be xy

where x is the tens place digit and y is the ones place digit.Square of a two digit number has a maximum of four digits and minimum of three digits.

we know that (x+y)2=x2+2xy+y2

also (10x+y)2=100x2+10*2xy+y2

Here ones place digit is y^2 tens place digit is 2xy and hundredth place digit is x^2.

While calculating the square if there is any remainder it must be added to the next place digit.

1. 312

ones place digit=12=1

tens place digit=2*3*1=6

100s place digit=32=9

therefore 312=961

2. 472

ones place digit=72=49=9                              remainder= 4

tens place digit=2*4*7+4(rem)=60=0       remainder=6

100s place digit=42+6(rem)=22

therefore 472=2209

3. 892

ones place digit=92=81=1                          remainder=8

tens place digit=2*8*9+8=152=2                 remainder=15

100s place digit=82+15=79

therefore 892=7921

rate if you like this

Scorching goIITian

Joined: 10 Feb 2012 20:33:35 IST
Posts: 262
21 Apr 2012 16:04:24 IST
4 people liked this

very good Bastin post more like this. Sure I will rate you

Hot goIITian

Joined: 24 Oct 2011 21:00:45 IST
Posts: 124
21 Apr 2012 20:49:26 IST
2 people liked this

Hahahaha
I am already using this method for past 4 years since i was in 9th..
And ya, it is absolutely the best method to find squares....
Even a more trick can be added in it, to increase ur calculation speed...
Cant type that, sorry...
But would add it whenever possible

Hot goIITian

Joined: 1 Jan 2012 11:53:12 IST
Posts: 185
22 Apr 2012 19:42:35 IST
2 people liked this

EVERYBODY KNOW THIS EASY METHOD

Scorching goIITian

Joined: 2 Jan 2012 21:15:39 IST
Posts: 213
22 Apr 2012 19:52:10 IST
4 people liked this

@rohan kumar

I just thought it would help someone who does not know this method.

New kid on the Block

Joined: 24 Apr 2012 00:02:34 IST
Posts: 1
24 Apr 2012 00:02:35 IST
2 people liked this

i tried simple multiplication and this method.......simple multiplication takes less time dude.!!!

Cool goIITian

Joined: 26 Apr 2012 22:36:43 IST
Posts: 60
1 May 2012 21:43:56 IST
1 people liked this

it is awesome

New kid on the Block

Joined: 25 Mar 2012 11:59:21 IST
Posts: 28
2 May 2012 09:45:50 IST
0 people liked this

this is really very nice

Blazing goIITian

Joined: 1 Apr 2012 07:49:04 IST
Posts: 381
6 May 2012 20:44:38 IST
0 people liked this

acha trick

New kid on the Block

Joined: 26 Oct 2011 10:36:36 IST
Posts: 5
11 May 2012 14:48:57 IST
0 people liked this

it can be improved

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