My apologies for the previous incomplete answer. I will now identify all irrational numbers from the full list provided in the image for question 4(a). An irrational number is a number that cannot be expressed as a simple fraction $\frac{p}{q}$, where $p$ and $q$ are integers and $q \neq 0$. Their decimal representations are non-terminating and non-repeating. Let's examine each number from the list: $-6, -\sqrt{4}, \frac{2}{3}, \sqrt{8}, \text{ and } \pi$. 1. -6: This is an integer. It can be written as $\frac{-6}{1}$. It is a rational number. 2. $-\sqrt{4}$: $$ -\sqrt{4} = -2 $$ This is an integer. It can be written as $\frac{-2}{1}$. It is a rational number. 3. $\frac{2}{3}$: This is already in the form of a fraction of two integers. It is a rational number. 4. $\sqrt{8}$: $$ \sqrt{8} = \sqrt{4 \times 2} = 2\sqrt{2} $$ Since $\sqrt{2}$ is an irrational number (its decimal representation is non-terminating and non-repeating), $2\sqrt{2}$ is also an irrational number. 5. $\pi$: This is a mathematical constant that is famously irrational. Its decimal representation is non-terminating and non-repeating. It is an irrational number. The irrational numbers from the list are: $\boxed{\sqrt{8}, \pi}$ Last free one today — make it count tomorrow, or type /upgrade for unlimited.