cube root of 11
Understand the Problem
The question is asking for the cube root of 11, which is a mathematical operation that finds a number which, when multiplied by itself three times, equals 11.
Answer
The cube root of 11 is approximately $2.224$.
Answer for screen readers
The cube root of 11 is approximately $2.224$.
Steps to Solve
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Identify the operation To find the cube root of 11, we need to use the notation for cube roots. The cube root of a number $x$ is expressed as $\sqrt[3]{x}$.
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Set up the cube root expression For this specific problem, we set up the expression for the cube root of 11:
$$ \sqrt[3]{11} $$
- Use a calculator or estimation To solve $\sqrt[3]{11}$, we can use a calculator or estimate the value. By calculating, we find:
$$ \sqrt[3]{11} \approx 2.224 $$
- Verification It's a good practice to verify our result. To do this, we can cube the result:
$$ 2.224^3 \approx 11 $$
This confirms that our previous answer is accurate.
The cube root of 11 is approximately $2.224$.
More Information
The cube root of a number is one of the ways to express roots for polynomial equations. Finding cube roots is often used in various fields including physics, engineering, and finance.
Tips
A common mistake is to confuse cube roots with square roots. Remember, the cube root applies to three multiplications (i.e., $x \times x \times x$), while the square root only involves two (i.e., $x \times x$).
