Class 08 GENERAL SQUARING BY VEDIC MATHEMATICS

The Duplex 

We will use the term Duplex, D, as follows: 

For 1 digit number D is its square, e.g., D (4) = 42 = 16 

 For 2 digit number D is twice the product of two digits

 e.g., D (43) = 2 x 4 x 3 = 24 

Now, find the Duplex of: 5, 23, 55, 26,90

The square of any number is just the total of its Duplexes, combined in the way we have been using for mental multiplication. 

43² = 1849.

Working from left to right there are three duplexes in 43: 

D (4), D (43) and D (3).

D (4) = 16, D (43) = 24, D (3) = 9,

Combining these three results in the usual way we get: 16 

16,24 = = 184

184,9 = 1849. 

2. 64² = 4096. D (6) = 36, D (64) = 48, D (4) = 16, 

Combining these results we get: 36 

36,48 = 408

408,16 = 4096 

Now, find the square of: 31, 14, 41, 32, 66, 81, 91, 56, 63