TO FIND SQUARE OF 3-DIGIT NUMBER

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.

6 comments:

Anonymous said...

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

431 * 431
431
1293
1724
185761

Abdvilliars Villiars said...

196 today winning yesterday quess answer plese

sasi kumar said...

Explained pls

sasi kumar said...

Explained pls

Admin GSM said...

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

KA P said...

Best ever Easy & Short trick to find square of
Two digit numbers and
Three digit numbers

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