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).

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 (p)/(q), where p and q are integers and q ≠ 0. Their decimal representations are non-terminating and non-repeating. Let's examine each number from the list: -6, -sqrt(4), (2)/(3), sqrt(8), and . 1. -6: This is an integer. It can be written as (-6)/(1). It is a rational number. 2. -sqrt(4): -sqrt(4) = -2 This is an integer. It can be written as (-2)/(1). It is a rational number. 3. (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 × 2) = 2sqrt(2) Since sqrt(2) is an irrational number (its decimal representation is non-terminating and non-repeating), 2sqrt(2) is also an irrational number. 5. *: 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: sqrt(8), Last free one today — make it count tomorrow, or type /upgrade for unlimited.