Mathematics

Vedic Maths


To find Square of 3 digit Number


Let the numaber be ABC

SQ (ABC) is calculated like this

    STEP 1. Last digit = last digit of SQ(C)
    STEP 2. Second Last Digit = 2*6*0 + 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.


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Notes


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