What is the cube root of 1331?
Understand the Problem
The question is asking for the cube root of the number 1331. To find the cube root, we need to determine which number multiplied by itself three times equals 1331.
Answer
The cube root of 1331 is $11$.
Answer for screen readers
The cube root of 1331 is $11$.
Steps to Solve
- Identify the cube root problem
We want to find the cube root of $1331$, which we can represent as $x$ such that $x^3 = 1331$.
- Estimate the cube root
To estimate the cube root, we can look at small integers and calculate their cubes to find a range.
For example:
- $10^3 = 1000$
- $11^3 = 1331$
So, we can see that $11^3 = 1331$.
- Conclude the cube root
Since we've found that $11^3 = 1331$, we can conclude:
$$ \sqrt[3]{1331} = 11 $$
The cube root of 1331 is $11$.
More Information
Finding the cube root is a common operation in mathematics, often used in algebra and geometry. The number $1331$ is actually a perfect cube, making finding its root straightforward.
Tips
- Miscalculating the cube of integers; be sure to check the calculations carefully.
- Confusing the square root with the cube root; remember these are different operations.
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