This question asks for the square root of a mixed number. Step 1: Convert the mixed number to an improper fraction. The mixed number is 5 and 4/9. To convert it to an improper fraction, multiply the whole number (5) by the denominator (9) and add the numerator (4). Keep the same denominator (9). Improper fraction = (5 × 9 + 4) / 9 Improper fraction = (45 + 4) / 9 Improper fraction = 49/9. Step 2: Find the square root of the improper fraction. We need to find √(49/9). The square root of a fraction is the square root of the numerator divided by the square root of the denominator. √(49/9) = √49 / √9. Step 3: Calculate the square roots. √49 = 7 (since 7 × 7 = 49) √9 = 3 (since 3 × 3 = 9). Step 4: Combine the results. √(49/9) = 7/3. Step 5: Convert the improper fraction back to a mixed number (optional, but often preferred for "whole number" context). To convert 7/3 to a mixed number, divide 7 by 3. 7 ÷ 3 = 2 with a remainder of 1. So, 7/3 = 2 and 1/3. The square root of 5 whole number 4 over 9 is 7/3 or 2 and 1/3.