https://file.aiquickdraw.com/mathbot/file/17266654341841wmi0q5t.jpg

The expression shown in the image is:

\[
\frac{\sqrt{24}}{\sqrt{18}}
\]

To simplify this, we can use the property of square roots:

\[
\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}
\]

So, we have:

\[
\frac{\sqrt{24}}{\sqrt{18}} = \sqrt{\frac{24}{18}} = \sqrt{\frac{4}{3}} = \frac{\sqrt{4}}{\sqrt{3}} = \frac{2}{\sqrt{3}}
\]

Now, we can rationalize the denominator by multiplying the numerator and denominator by \(\sqrt{3}\):

\[
\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{\sqrt{3}} = \frac{2\sqrt{3}}{3}
\]

Thus, the simplified result is:

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

Would you like more details on the steps or further questions?

### Related Questions:
1. How do you simplify expressions with square roots?
2. What does rationalizing the denominator mean?
3. How do you simplify fractions under square roots?
4. What is the square root property for division?
5. Can you show an example of rationalizing a more complex denominator?

### Tip:
When working with square roots, always check if the denominator can be simplified or rationalized to avoid having a square root in the denominator.

Learn how to simplify the expression \(\frac{\sqrt{24}}{\sqrt{18}}\) using square root properties and rationalizing the denominator. This step-by-step guide includes simplifying square root fractions and is suitable for Grades 8-10.

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