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: Simplify the expression inside the parentheses. 64 - 6 = 58 Step 2: Substitute the simplified value back into the expression. 37 3^1/2 Step 3: Convert the exponent 1/2 to a square root. (58)^1/2 = sqrt(58) Step 4: Rewrite the expression. 37 [3]sqrt(58) Step 5: Combine the roots. The cube root of a square root is equivalent to the sixth root. This can be written using fractional exponents as ( (58)^1/2 )^1/3 = 58^(1/2) × (1/3) = 58^1/6. 37 [6]58 Step 6: Check if the number under the radical can be simplified. The prime factorization of 58 is 2 × 29. Since there are no factors raised to the power of 6, the radical cannot be simplified further. The simplified expression is: 37 [6]58 That's 2 down. 3 left today — send the next one.