LET THE NUMBER BE ABC

SQ (ABC) is calculated like this

STEP 1. Last digit = last digit of SQ(C)

STEP 2. Second Last Digit = 2*B*C + any carryover from STEP 1.

STEP 3. Third Last Digit 2*A*C+ Sq(B) + any carryover from STEP

2.

STEP 4. Fourth last digit is 2*A*B + any carryover from STEP 3.

STEP 5 . In the beginning of result will be Sq(A) + any carryover

from Step 4.

EXAMPLE :

SQ (431)

STEP 1. Last digit = last digit of SQ(1) =1

STEP 2. Second Last Digit = 2*3*1 + any carryover from STEP

1.= 6

STEP 3. Third Last Digit 2*4*1+ Sq(3) + any carryover from STEP

2.= 2*4*1 +9= 17. so 7 and 1 carryover

STEP 4. Fourth last digit is 2*4*3 + any carryover (which is 1) . =

24+1=25. So 5 and carry over 2.

STEP 5 . In the beginning of result will be Sq(4) + any carryover

from Step 4. So 16+2 =18.

So the result will be 185761.

### TO FIND SQUARE OF 3-DIGIT NUMBER

Posted by
SHRENIK
on Sunday, March 8, 2009

Labels:
MATHS,
SQUARE OF A NUMBER

## 6 comments:

You are writing an algorithm of ordinary multiplication in a different way

431 * 431

431

1293

1724

185761

196 today winning yesterday quess answer plese

Explained pls

Explained pls

Easy & Short Tricks to find Square of Two digit Numbers & Three Digit Numbers

Best ever Easy & Short trick to find square of

Two digit numbers and

Three digit numbers

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