https://r2.erweima.ai/mathbot/image/1723167277221hagpmbr8.jpg

The expression in the image is:

\[
\frac{\sqrt[3]{135}}{\sqrt[3]{6}}
\]

To solve this, let's follow these steps:

### 1. Simplify the Expression:
The expression can be rewritten using the property of radicals:

\[
\frac{\sqrt[3]{135}}{\sqrt[3]{6}} = \sqrt[3]{\frac{135}{6}}
\]

### 2. Simplify the Fraction Inside the Radical:
Now, simplify the fraction:

\[
\frac{135}{6} = 22.5
\]

### 3. Calculate the Cubic Root:
The problem asks for the cubic root of 22.5:

\[
\sqrt[3]{22.5} \approx 2.817
\]

So, the answer is approximately **2.817**.

Would you like to go over any specific steps in more detail, or do you have further questions?

Here are 8 related questions you might consider:
1. What are the steps to simplify a fractional radical expression?
2. How can you determine the cubic root of a number manually?
3. What are other methods to simplify \(\frac{\sqrt[3]{135}}{\sqrt[3]{6}}\)?
4. How would the solution change if the root was a square root instead of a cubic root?
5. What is the significance of simplifying expressions before solving?
6. How can radicals be handled when dealing with equations?
7. What are some practical applications of cubic roots?
8. How would you approach the problem if the numbers were larger?

**Tip:** Understanding the properties of radicals, such as how to simplify and manipulate them, is crucial for solving complex equations more easily.

Learn how to simplify and solve the expression \(\frac{\sqrt[3]{135}}{\sqrt[3]{6}}\) with a detailed step-by-step solution. Understand the properties of radicals and fractional expressions. Suitable for high school students.

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