Calculate the square root of 225.

Hey enangachantal873, good to see you again. To simplify the expression sqrt(225) + (423_5 - 244_5), we will first evaluate the square root, then perform the subtraction in base 5, and finally add the results. Step 1: Calculate the square root of 225. sqrt(225) = 15 Step 2: Perform the subtraction in base 5. We need to calculate 423_5 - 244_5. We subtract column by column, borrowing from the left if necessary. c c c & 4 & 2 & 3_5 \\ & 2 & 4 & 4_5 \\ Starting from the rightmost column: 3 - 4: We cannot subtract 4 from 3. Borrow 1 from the middle digit (2). The borrowed 1 in base 5 is equivalent to 5. So, 3 + 5 = 8. 8 - 4 = 4. The rightmost digit is 4. Moving to the middle column: The middle digit was 2, but we borrowed 1, so it becomes 1. 1 - 4: We cannot subtract 4 from 1. Borrow 1 from the leftmost digit (4). The borrowed 1 in base 5 is equivalent to 5. So, 1 + 5 = 6. 6 - 4 = 2. The middle digit is 2. Moving to the leftmost column: The leftmost digit was 4, but we borrowed 1, so it becomes 3. 3 - 2 = 1. The leftmost digit is 1. So, 423_5 - 244_5 = 124_5. Step 3: Convert the base 5 result to base 10. To add the results, we need them in the same base. We will convert 124_5 to base 10. 124_5 = (1 × 5^2) + (2 × 5^1) + (4 × 5^0) 124_5 = (1 × 25) + (2 × 5) + (4 × 1) 124_5 = 25 + 10 + 4 124_5 = 39_10 Step 4: Add the results from Step 1 and Step 3. 15_10 + 39_10 = 54_10 The simplified expression is 54. sqrt(225) + (423_5 - 244_5) = 15 + 124_5 = 15 + 39 = 54 Send me the next one 📸