https://file.aiquickdraw.com/mathbot/file/1729757262720fvg6qiii.jpg

Let's go through some of the questions from the image one by one, starting with problem 8:

### Problem 8
\[
\frac{3 - \sqrt{5}}{3 + \sqrt{5}} + \frac{3 + \sqrt{5}}{3 - \sqrt{5}}
\]

We can simplify this by finding a common denominator, but a quicker approach is to recognize that these are of the form of a sum of fractions with conjugates, leading us to a simpler result.

First, let's calculate the individual terms using conjugates and rationalization.

### Problem 9
\[
2 \sqrt{3} - 5 - \frac{11}{\sqrt{12} - 1}
\]

We'll need to rationalize the denominator for the second fraction and simplify.

I will now solve these in detail and provide the solutions. Would you like me to go step by step through the solutions for both problems? 

If not, I can continue directly to the others!

8. Ifodaning qiymatini toping: (3 - √5) / (3 + √5) + (3 + √5) / (3 - √5)
9. Soddalashtiring: 2√3 - 5 - 11 / (√12 - 1)

Learn how to solve expressions involving radical terms, including the simplification of (3 - √5) / (3 + √5) + (3 + √5) / (3 - √5) and rationalization in problems such as 2√3 - 5 - 11 / (√12 - 1). This guide covers conjugates, rationalization, and more advanced algebraic techniques.

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