This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Determine the possible units digits of a perfect square. The units digit of a perfect square is determined by the units digit of the number being squared. Let's list the units digits of squares of single-digit numbers: 0^2 = 0 1^2 = 1 2^2 = 4 3^2 = 9 4^2 = 16 6 5^2 = 25 5 6^2 = 36 6 7^2 = 49 9 8^2 = 64 4 9^2 = 81 1 The possible units digits of a perfect square are 0, 1, 4, 5, 6, and 9. Step 2: Compare the options with the possible units digits. (a) 6: This can be a units digit of a perfect square (e.g., 4^2 = 16). (b) 1: This can be a units digit of a perfect square (e.g., 1^2 = 1). (c) 9: This can be a units digit of a perfect square (e.g., 3^2 = 9). (d) 8: This is not in the list of possible units digits (0, 1, 4, 5, 6, 9). Therefore, 8 cannot be the units digit of a perfect square number. The correct option is (d). (d) 8 That's 2 down. 3 left today — send the next one.