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square roor mplementaion using vedic mathematics
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IMPLEMENTATION OF SQUARE ROOT USING VEDIC MATHAMETICS:

DUPLEX METHOD:

The duplex is the square of the central digit plus double the cross-product of digits equidistant from the center.

A: For perfect squares the duplex and the dividend will get smaller and reach zero after a few steps.

B: For non-perfect squares the decimal value of the square root can be calculated to any precision desired.

  Number -> Processing -> Calculation = Duplex

5 ==> 52 = 25

27==>2.(2.7)=28

574 ==> 2(54) + 72 = 89

2767==>2(2.7)+2(7.6)=112

14213 ==> 2.(1.3)+2(4.1)+4 = 18

406,739 ==> 2(49)+ 2(03)+ 2(67) = 72+0+84 = 156

123,456 ==> 2(16)+ 2(25)+ 2(34) = 12 +20 +24 = 56

 

  GROUPING OF NUMBER

Rules:

         Grouping be done from right hand side taking 2 digit at a time.

         Remaining numbers in last group be either 1(for odd) or(for even)

         Example:

No: 836798087 8 36 79 80 87 (single digit in last group)

No: 67854693 67 85 46 93 (two digit in last group)

 

Placement of decimal point in the result:

The decimal point must be placed after n/2 or (n+1)/2 digits.

e.g. no. 53163214 and the corresponding square root is 7291.31.

Here the number of digits is eight, so the decimal point is placed after 8/2=4 digits.