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
You're on a roll — Step 1: Convert the mixed number 4 (29)/(49) into an improper fraction. To do this, multiply the whole number by the denominator and add the numerator. Keep the same denominator. 4 (29)/(49) = ((4 × 49) + 29)/(49) = (196 + 29)/(49) = (225)/(49) Step 2: Find the square root of the improper fraction. To find the square root of a fraction, take the square root of the numerator and the square root of the denominator separately. sqrt((225)/(49)) = sqrt(225)sqrt(49) Step 3: Calculate the square roots of the numerator and the denominator. sqrt(225) = 15 sqrt(49) = 7 Step 4: Substitute the square root values back into the fraction. (15)/(7) This can also be expressed as a mixed number: (15)/(7) = 2 (1)/(7) The square root of 4 (29)/(49) is (15)/(7) or 2 (1)/(7). What's next?