# 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.

The cube root of 11 is approximately $2.224$.

The cube root of 11 is approximately $2.224$.

#### Steps to Solve

1. 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 $\sqrt[3]{x}$.

2. Set up the cube root expression For this specific problem, we set up the expression for the cube root of 11:

$$\sqrt[3]{11}$$

1. Use a calculator or estimation To solve $\sqrt[3]{11}$, we can use a calculator or estimate the value. By calculating, we find:

$$\sqrt[3]{11} \approx 2.224$$

1. 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 $2.224$.

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., $x \times x$).