The image you uploaded lists several numbers, and the question asks you to identify the irrational numbers.

An irrational number is a number that cannot be expressed as a ratio of two integers. These numbers have non-repeating and non-terminating decimal expansions. Some common examples include $\pi$, $e$, and square roots of non-perfect squares.

Here are the items on the list and their classifications:

1. $-8.5$: This is a rational number since it can be written as $-\frac{17}{2}$.
2. $0$: This is a rational number because it can be written as $\frac{0}{1}$.
3. $\frac{7}{2}$: This is a rational number as it is the ratio of two integers.
4. $\sqrt{3}$: This is an irrational number since $\sqrt{3}$ cannot be expressed as a ratio of two integers and its decimal form is non-repeating and non-terminating.
5. $2.71$: This appears to approximate Euler’s number $e$, which is an irrational number, but 2.71 itself is a rational approximation.
6. $-\pi$: This is an irrational number, as $\pi$ is irrational and so is $-\pi$.
7. $3.14$: This is a rational number because it's a finite decimal, often used as an approximation of $\pi$, but it is not exactly $\pi$.
8. $100$: This is a rational number as it can be expressed as $\frac{100}{1}$.
9. $-7$: This is a rational number as it can be written as $\frac{-7}{1}$.

So, the irrational numbers in the list are:

• $\sqrt{3}$
• $-\pi$

Would you like a detailed explanation of any particular concept?

Here are 5 related questions to consider:

1. What is the definition of a rational number?
2. Why is $\pi$ considered an irrational number?
3. How can we distinguish rational and irrational numbers based on their decimal expansions?
4. Are there any other famous irrational numbers besides $\pi$ and $e$?
5. Can square roots of perfect squares ever be irrational?

Tip: To recognize irrational numbers, remember that any square root of a non-perfect square or any number like $\pi$ or $e$ will always be irrational.