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### **First Expression**
The problem asks for the simplification of the following expression:

\[
\frac{6}{\sqrt{3}} - \frac{2}{\sqrt{3} + 1}
\]

We need to simplify and check which option matches the answer.

1. **Simplify \(\frac{6}{\sqrt{3}}\):**  
   Multiply numerator and denominator by \(\sqrt{3}\) to rationalize:  
   \[
   \frac{6}{\

Simplify the given expressions and determine their equivalence. The two questions include:
1. Simplify: \( \frac{6}{\sqrt{3}} - \frac{2}{\sqrt{3} + 1} \) and identify the correct answer.
2. Simplify: \( \frac{7}{\sqrt{2}} + \frac{1}{\sqrt{3 + \sqrt{2}}} \) and determine the correct result.

Learn how to simplify surds and rationalize denominators with detailed solutions. Problems include simplifying expressions like 6/√3 - 2/(√3 + 1) and 7/√2 + 1/√(3 + √2). Suitable for students in Grades 9-10.

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