Cube roots of perfect cubes — Vedic maths trick

The trick

Vilokanam — “by observation”

1. Last digit → unit digit of the root: 2↔8 and 3↔7 swap, every other digit stays the same.
2. Remove the last three digits; the biggest cube not more than what is left gives the tens digit.
3. Put them together.

Use it for: Perfect cubes up to 6 digits (roots 11–99).

Worked example: ∛110592 = 48

✏️ Practice

Work it out in your head or on paper, then tap your answer — or type it and press Check. Stuck? Press “Show me how”.

🏁 Trick 10 test

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

🏅 Sign in with Google to earn the 🧊 Cube Cracker badge when you pass — and a certificate when you finish all 10 tricks of Part 1 · Core tricks. You can still take the test without signing in.

🖨️ Cube Root Worksheet

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)