Cube Roots
Find cube roots of huge numbers instantly.
Core Concepts
Finding cube roots is even easier than square roots because every digit has a unique ending!
Step 1: Last Digit
• 1, 4, 5, 6, 9, 0 → Same digit.
• 2 ↔ 8 (Flip them!)
• 3 ↔ 7 (Flip them!)
Step 2: First Part
1. Strike out the last 3 digits.
2. Find the nearest cube BELOW the remaining number.
3. That's your first digit!
Solved Examples
Example 1: ∛12167
Question: Find the cube root.
• Ends in 7 → Last digit is 3 (3↔7).
• Strike 167. Remaining is 12.
• Cube below 12 is 8 (2³). First digit is 2.
• Answer: 23.
Example 2: ∛42875
Question: Find the cube root.
• Ends in 5 → Last digit is 5.
• Strike 875. Remaining is 42.
• Cube below 42 is 27 (3³). First digit is 3.
• Answer: 35.
Example 3: ∛32768
Question: Find the cube root.
• Ends in 8 → Last digit is 2 (2↔8).
• Strike 768. Remaining is 32.
• Cube below 32 is 27 (3³). First digit is 3.
• Answer: 32.
