\( \frac{\sqrt{0.3364} \sqrt{0.1936}}{\sqrt{0.3364}-\sqrt{0.1936}} \)

Let's solve the expression:

\[ \frac{\sqrt{0.3364} \sqrt{0.1936}}{\sqrt{0.3364}-\sqrt{0.1936}} \]

1. **Calculate the square roots:**

   \[
   \sqrt{0.3364} = 0.58
   \]
   \[
   \sqrt{0.1936} = 0.44
   \]

2. **Substitute the values into the expression:**

   \[
   \frac{0.58 \times 0.44}{0.58 - 0.44}
   \]

3. **Calculate the numerator and the denominator:**

   \[
   \text{Numerator} = 0.58 \times 0.44 = 0.2552
   \]
   \[
   \text{Denominator} = 0.58 - 0.44 = 0.14
   \]

4. **Divide the numerator by the denominator:**

   \[
   \frac{0.2552}{0.14} \approx 1.823
   \]

Thus, the value of the expression is approximately \( 1.823 \).

Would you like a more detailed explanation or have any questions? Here are some related questions:

1. What are the basic properties of square roots?
2. How can square roots be simplified?
3. How do you rationalize a denominator?
4. What is the significance of the numerator and denominator in a fraction?
5. How can decimals be converted to fractions?
6. What are some common mistakes when working with square roots?
7. How do you estimate square roots without a calculator?
8. What is the process for solving expressions with square roots and other radicals?

**Tip:** When working with square roots, it can be helpful to approximate values if an exact calculation isn't necessary, especially for complex problems.

Learn how to calculate the expression involving square roots of decimals. This problem covers square root calculations and fraction simplification. Suitable for students in Grades 7-9.

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