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Definition : Whatever the deficiency subtract that deficit from the number and write along side the square of that deficit.It is also called as Yaavadunam Sutra

This sutra is helpful in finding squares and cubes of any two digit-numbers .It can extend up to any number of digits for finding the square and cubes of  that particular number. But here I'm going use this sutra with different methods for finding squares for any two-digit  and three-digit numbers .

Method 1 :Using the Yaavadunam Sutra

1. 98 x 98 =9604
Steps:
  1. The nearest power of 10 to 98 is 100.So we take our base value as 100.(Note: Base values should    always be powers of 10)
  2. We can see clearly that 98 is 2 less than 100.So we call this 2 as deficiency.
  3. Decrease the given number further by an amount equal to the deciency , meaning ( 98 -2 = 96).Now,this 96 becomes the left side of our answer.
  4. On the right hand side, put the square of the difiency .i.e; 2 x 2= 04
  5. Now for the final answer add(append), the results from Step 3 and Step 4.
Therefore , 98 x 98 =9604

Method 2 : Using Duplex Formula


Duplex Method Formulas:

D(X)= X^2
D(XY)=2 XY
D(XYZ)=(2XZ)+Y^2
D(ABCD)=(2AD) +(2BC)
D(ABCDE)=(2AE)+(2BD)+C^2

Following below are few examples :

vedic maths\
vedic maths

3. Squaring any Three-digit Numbers :

Vedic Maths is a vast resource of mathematical knowledge.Try them and you get to like it.For further Vedic Maths ,check the Vedic Maths link below .

Exercise :
To Obtain Squares of any Numbers close to the powers of 10
To Obtain Cubes of any Numbers close to the powers of 10



5 comments:

  1. plz tell me answer for (534)^2 using duplex method?

    ReplyDelete
    Replies
    1. By Duplex Method for 534 ^2 ,
      = (5x5) = 25
      = (2x5x3) = 30
      = (2x5x4) +9 = 49
      = (2x3x4) = 24
      = (4x4)= 16
      By adding all the above in sequence, we get
      25 + 30 + 49+ 24+ 16

      which gives, 285156
      Therefore, (534)^2 = 285156

      Hope your query is now solved !

      Delete
  2. Thankx ... :) for the solution..

    ReplyDelete

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