Cube roots of perfect cubes are even quicker than square roots: each last digit gives exactly one ending.
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The trick
Vilokanam — “by observation”
Last digit → unit digit of the root: 2↔8 and 3↔7 swap, every other digit stays the same.
Remove the last three digits; the biggest cube not more than what is left gives the tens digit.
Put them together.
Use it for: Perfect cubes up to 6 digits (roots 11–99).
Worked example: ∛110592 = 48
Ends in 2 → the root ends in 8.
Remove 592 → 110; 4³ = 64 is the biggest cube in 110 → tens digit 4.
Answer: 48.
Check: 48 × 48 × 48 = 110592 ✓
✏️ Practice
Work it out in your head or on paper, type the answer and press Check. Stuck? Press “Show me how”.
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🏁 Trick 10 test
20 sums. Check each answer, then go to the next one. Get 16 or more right to pass.
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🧊 Cube Cracker badge when you pass — and a certificate when you finish all 10 tricks of
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