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: Pair the digits of the number 1849 from the right. The pairs are (18) and (49). Step 2: Find the largest whole number whose square is less than or equal to the first pair, 18. 4^2 = 16 5^2 = 25 Since 16 < 18 and 25 > 18, the number is 4. Write 4 as the first digit of the square root. Step 3: Subtract 4^2 = 16 from 18. 18 - 16 = 2 Step 4: Bring down the next pair of digits, 49, next to the remainder. The new number is 249. Step 5: Double the current quotient (4 × 2 = 8). Write this as the new divisor's first digit. Now, we need to find a digit 'x' such that when 'x' is placed next to 8 (forming 8x) and multiplied by 'x', the product is less than or equal to 249. Let's try x=3: 83 × 3 = 249 Step 6: Write 3 as the next digit in the square root. Subtract 249 from 249. 249 - 249 = 0 Since the remainder is 0 and there are no more pairs to bring down, the square root is 43. Therefore, the positive square root of 1849 is: sqrt(1849) = 43 That's 2 down. 3 left today — send the next one.