To simplify the expression \(\frac{\sqrt{20}}{\sqrt{10}}\):

1. **Combine the square roots**: 
   \[
   \frac{\sqrt{20}}{\sqrt{10}} = \sqrt{\frac{20}{10}}
   \]

2. **Simplify the fraction under the square root**: 
   \[
   \frac{20}{10} = 2
   \]

3. **Simplify the square root**: 
   \[
   \sqrt{2}
   \]

So, \(\frac{\sqrt{20}}{\sqrt{10}} = \sqrt{2}\).

Would you like more details on this solution or have any other questions?

Here are 5 related questions:
1. How would you simplify \(\frac{\sqrt{50}}{\sqrt{2}}\)?
2. What is the value of \(\sqrt{2}\) approximately?
3. How do you rationalize the denominator in \(\frac{1}{\sqrt{2}}\)?
4. What is the result of \(\sqrt{32}/\sqrt{8}\)?
5. How do you simplify \(\frac{\sqrt{18}}{\sqrt{2}}\)?

**Tip:** When simplifying square roots divided by each other, remember you can combine them into one square root if possible.

Learn how to simplify the expression √20/√10 to √2 with this step-by-step guide. This problem involves key algebraic concepts, including the simplification of square roots and the properties of square roots, suitable for students in Grades 6-8.

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