The expression \( \frac{14\sqrt{3}}{3} \) is already simplified. Here's some additional context:

- \( \sqrt{3} \) is an irrational number, approximately equal to 1.732.
- The fraction \( \frac{14\sqrt{3}}{3} \) indicates that the entire numerator \( 14\sqrt{3} \) is divided by 3.

If needed, the numerical value of the expression can be approximated as:

\[
\frac{14\sqrt{3}}{3} \approx \frac{14 \times 1.732}{3} \approx \frac{24.248}{3} \approx 8.083
\]

Let me know if you need further steps or context! 😊 

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Here are 5 related questions to expand your understanding:  
1. How can you rationalize the denominator of a fraction if it includes a square root?  
2. What are some properties of irrational numbers like \( \sqrt{3} \)?  
3. How do you simplify fractions with radicals in both the numerator and denominator?  
4. What is the approximate value of \( \sqrt{3} \) rounded to different decimal places?  
5. How is \( \sqrt{3} \) derived geometrically or algebraically?

**Tip:** When working with square roots in fractions, always check if rationalization or further simplification is necessary.

Understand how to simplify and approximate the expression 14√3/3. This guide covers simplifying radicals, properties of irrational numbers, and approximations with examples. Ideal for students in Grades 8-10 looking to enhance their understanding of fractions involving radicals.

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