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Vedic maths · trick 7 of 36 · free

Squares of 2-digit numbers — Vedic maths trick

Squaring is multiplying a number by itself, so the crosswise method gets even simpler: left a², middle 2ab, right b².

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The trick

Dwandwa Yoga — “the duplex”

  1. For the number ab: right column = b².
  2. Middle column = 2 × a × b.
  3. Left column = a².
  4. Combine from the right with carries.

Use it for: Squaring any 2-digit number (use Level 2 for numbers ending in 5).

Worked example: 47² = 2209

  1. Right: 7² = 49 → write 9, carry 4.
  2. Middle: 2 × 4 × 7 = 56, + 4 = 60 → write 0, carry 6.
  3. Left: 4² = 16, + 6 = 22.
  4. Answer: 2209.

Check: 47² = 50² − 2×50×3 + 3² = 2500 − 300 + 9 = 2209 ✓

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✓ Written and checked by the TalentJR team · Updated 13 Oct 2026 · How we make our lessons

✏️ Practice

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🏁 Trick 7 test

20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.

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🖨️ Squares of 2 Digit Numbers Worksheet

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