What is the cube root of 256?
Understand the Problem
The question is asking for the cube root of the number 256, which is a mathematical operation looking for a number that, when multiplied by itself twice, results in 256.
Answer
$6.3496$
Answer for screen readers
The cube root of 256 is approximately 6.3496
Steps to Solve
- Recognize the mathematical operation
To find the cube root of 256, we're looking for a number $ x $ such that $ x^3 = 256 $.
- Estimate the cube root
Estimate an approximate value for the cube root based on the nearby perfect cubes (like $5^3 = 125$ and $6^3 = 216$). This tells us that the cube root of 256 is between 6 and 7.
- Use precise calculation methods
Since 256 is not a perfect cube, use a calculator to find a more precise value. The cube root of 256 is approximately $6.3496$.
- Verification
You can verify this by checking $6.3496^3 = 256$ using a calculator to ensure it approximates to 256.
The cube root of 256 is approximately 6.3496
More Information
The cube root is not an integer because 256 is not a perfect cube.
Tips
A common mistake is assuming that 256 has to be a perfect cube, but some numbers do not have integer cube roots.
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