एकाधिकेन पूर्वेण
Ekādhikena Pūrvena - “By one more than the previous one”
A Vedic math shortcut for squaring numbers ending in 5
Step-by-Step: Squaring 35
- Split the number → 3
- Add one → 3 + 1 = 4
- Multiply → 3 x 4 = 12
- Append 25 → Final answer = 1225
How It Works
Any number ending in 5 can be expressed as (10x + 5). Squaring it gives:
(10x + 5)² = 100x(x + 1) + 25
This shortcut is a clever rearrangement of algebra, made intuitive through pattern recognition.
Try It Yourself
- 45² → 4 x 5 = 20 → 2025
- 85² → 8 x 9 = 72 → 7225
- 105² → 10 x 11 = 110 → 11025
Why Students Love It
- No need to memorize large multiplication tables
- Builds confidence in mental math
- Encourages pattern-based thinking
- Perfect for competitive exams and quick calculations
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