Find the cube root of 9261.

Answer

To find the cube root of 9261, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Number**: We need to find the cube root of 9261.

2. **Check the Last Digit**: The last digit of 9261 is 1. We can determine the possible last digits of cubes:
- \(0^3 = 0\)
- \(1^3 = 1\)
- \(2^3 = 8\)
- \(3^3 = 27\) (last digit 7)
- \(4^3 = 64\) (last digit 4)
- \(5^3 = 125\) (last digit 5)
- \(6^3 = 216\) (last digit 6)
- \(7^3 = 343\) (last digit 3)
- \(8^3 = 512\) (last digit 2)
- \(9^3 = 729\) (last digit 9)

Since the last digit of 9261 is 1, the cube root must end in 1.

3. **Estimate the Cube Root**: Now, we need to find a number whose cube is close to 9261. We can check:
- \(20^3 = 8000\)
- \(21^3 = 9261\)
- \(22^3 = 10648\)

We see that \(21^3 = 9261\).

4. **Conclusion**: Therefore, the cube root of 9261 is 21.

### Final Answer:
The cube root of 9261 is **21**.

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