https://file.aiquickdraw.com/mathbot/file/1726847409615ho4wi481.jpg

The expression in the image is:

\[
\frac{\sqrt{15} \times \sqrt{20}}{\sqrt{12}}
\]

We can simplify this step by step:

1. **Combine the square roots in the numerator:**
   \[
   \sqrt{15} \times \sqrt{20} = \sqrt{15 \times 20} = \sqrt{300}
   \]

2. **Simplify the denominator:**
   \[
   \sqrt{12}
   \]

Now the expression becomes:

\[
\frac{\sqrt{300}}{\sqrt{12}}
\]

3. **Simplify the square roots:**
   - \(\sqrt{300} = \sqrt{100 \times 3} = 10\sqrt{3}\)
   - \(\sqrt{12} = \sqrt{4 \times 3} = 2\sqrt{3}\)

So, the expression now is:

\[
\frac{10\sqrt{3}}{2\sqrt{3}}
\]

4. **Cancel out the \(\sqrt{3}\):**

\[
\frac{10}{2} = 5
\]

Thus, the final simplified result is:

\[
5
\]

Let me know if you want more details or have any questions! Here are some related questions:

1. How do you simplify square roots with larger numbers?
2. What are some common square root properties?
3. How do you handle expressions with multiple radicals in both the numerator and the denominator?
4. How can you rationalize a denominator that has a square root?
5. How does multiplying square roots differ from adding them?

**Tip:** Always look for perfect squares when simplifying square roots to make the process easier.

Simplify the expression: \( \frac{\sqrt{15} \times \sqrt{20}}{\sqrt{12}} \).

Learn how to simplify the expression \( \frac{\sqrt{15} \times \sqrt{20}}{\sqrt{12}} \) with a detailed step-by-step solution. This problem involves multiplying and simplifying square roots and is suitable for students in Grades 9-11.

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