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ADVANCEDVedic Math
Duplex Method for Squaring
Square any number using the duplex (Dwandwa Yoga) method
CAT
The duplex (D) of digits helps find squares systematically
Formula
For abc²: D(c) | D(bc) | D(abc) | D(ab) | D(a)How It Works
0
D of single digit a = a²
1
D of two digits ab = 2×a×b
2
D of three digits abc = 2×a×c + b²
3
Work from right, computing D for increasing spans
Examples
📝 23²: D(3)=9 | D(23)=2×2×3=12 | D(2)=4 → 529 (with carries)
📝 54²: D(4)=16(6,carry 1) | D(54)=2×5×4=40+1=41(1,carry 4) | D(5)=25+4=29 → 2916
Pro Tips
💡 This extends to any length number - practice with 2-digit first
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