Mathematics

Vedic Maths


Squaring a 2 digit number ending in 1


    1.Take a 2-digit number ending in 1.
    2.Subtract 1 from the number.
    3.Square the difference.
    4.Add the difference twice to its square.
    5.Add 1.

  • Example:

      1.If the number is 41, subtract 1: 41 - 1 = 40.
      2.40 x 40 = 1600 (square the difference).
      3.1600 + 40 + 40 = 1680 (add the difference twice to its square).
      4.1680 + 1 = 1681 (add 1).
      5.So 41 x 41 = 1681.

  • See the pattern?

      1.For 71 x 71, subtract 1: 71 - 1 = 70.
      2.70 x 70 = 4900 (square the difference).
      3.4900 + 70 + 70 = 5040 (add the difference twice to its square).
      4.5040 + 1 = 5041 (add 1).
      5.So 71 x 71 = 5041.


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    Notes
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