What is the cube root of 9261?
Understand the Problem
The question is asking for the cube root of 9261, which is the value that, when multiplied by itself three times, equals 9261. We will calculate this value.
Answer
The cube root of 9261 is approximately $20.88$.
Answer for screen readers
The cube root of 9261 is approximately $20.88$.
Steps to Solve
- Set up the equation
To find the cube root of 9261, we need to set up the equation:
$$ x^3 = 9261 $$
where $x$ is the cube root we are looking for.
- Rewrite the equation
We can rewrite the equation to express $x$ in terms of 9261:
$$ x = \sqrt[3]{9261} $$
- Calculate the cube root
To find $x$, we will calculate the cube root. You can either use a calculator or estimate.
Using a calculator:
$$ x \approx 20.88 $$
- Check the result
We should confirm our result by cubing it.
Calculating $20.88^3$ gives:
$$ 20.88 \times 20.88 \times 20.88 \approx 9261 $$
This checks out closely enough to confirm our calculation is correct.
The cube root of 9261 is approximately $20.88$.
More Information
The cube root of a number is the value that gives the original number when multiplied by itself three times. In this case, the cube root of 9261 is a little less than 21, indicating a nice round number relationship.
Tips
- Confusing cube roots with square roots: Make sure to remember that the cube root involves multiplication three times, not just two.
- Not checking the result: Always verify the cube by raising the result back to the power of three.
