What is the cube root of 9?
Understand the Problem
The question is asking for the cube root of the number 9. The cube root is a value that, when multiplied by itself three times, gives the original number. This can be calculated using the expression x = 9^(1/3).
Answer
The cube root of 9 is approximately $2.0801$.
Answer for screen readers
The cube root of 9 is approximately $2.0801$.
Steps to Solve
- Identify the Expression for Cube Root
To find the cube root of 9, we can use the expression:
$$ x = 9^{\frac{1}{3}} $$
- Calculate the Cube Root
Using a calculator or estimating, we can calculate:
$$ x \approx 2.0801 $$
This means that approximately 2.0801 multiplied by itself three times equals 9.
- Verification of the Result
To verify, cube the result:
$$ (2.0801)^3 \approx 9 $$
This confirms that our value for the cube root is correct.
The cube root of 9 is approximately $2.0801$.
More Information
The cube root function is useful in various fields such as geometry and physics. Finding cube roots is often employed in problems involving volumes and measurements.
Tips
- Misinterpreting the operation: Sometimes people confuse the square root with the cube root. Make sure you understand the difference.
- Using incorrect calculators: Ensure that you're using a calculator capable of cube root calculations; some basic calculators only have a square root function.
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