https://file.aiquickdraw.com/mathbot/file/1727750231336qf9agfed.jpg

The expression shown in the image is:

\[
\frac{\sqrt{2}}{\sqrt{7}}
\]

To simplify this, we can combine the square roots using the property \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\):

\[
\frac{\sqrt{2}}{\sqrt{7}} = \sqrt{\frac{2}{7}}
\]

Therefore, the simplified answer is:

\[
\sqrt{\frac{2}{7}}
\]

Would you like more details or have any questions?

### Related Questions
1. How do you rationalize the denominator for similar square root fractions?
2. What happens when both the numerator and denominator are perfect squares in such expressions?
3. How would you handle a fraction like \(\frac{\sqrt{8}}{\sqrt{32}}\)?
4. What is the general rule for multiplying and dividing square roots?
5. How does this relate to exponent rules?

### Tip
Always remember that \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\), which can make simplifying such expressions much easier.

Simplify the expression \(\frac{\sqrt{2}}{\sqrt{7}}\).

Learn how to simplify the square root expression \(\frac{\sqrt{2}}{\sqrt{7}}\). This solution covers properties of radicals and demonstrates how to simplify square root fractions using the formula \(\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}\). Suitable for students in Grades 9-10.

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