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 — let's solve these problems! Calculate. a) sqrt(4) + (5-6) Step 1: Calculate the square root and the expression inside the parentheses. 2 + (-1) Step 2: Perform the addition. 1 The result is 1. b) sqrt(64) - (5-6) Step 1: Calculate the square root and the expression inside the parentheses. 8 - (-1) Step 2: Perform the subtraction. 8 + 1 9 The result is 9. c) (8-10) + sqrt(36) Step 1: Calculate the expression inside the parentheses and the square root. (-2) + 6 Step 2: Perform the addition. 4 The result is 4. d) (8-12) + sqrt(8) Step 1: Calculate the expression inside the parentheses and simplify the square root. (-4) + sqrt(4 × 2) -4 + 2sqrt(2) The result is -4 + 2sqrt(2). e) [3]125 - (6-9) Step 1: Calculate the cube root and the expression inside the parentheses. 5 - (-3) Step 2: Perform the subtraction. 5 + 3 8 The result is 8. f) (-4-7) + sqrt(9) Step 1: Calculate the expression inside the parentheses and the square root. (-11) + 3 Step 2: Perform the addition. -8 The result is -8. 3. Calculate. a) sqrt(25) + (5+4) + (6^2) Step 1: Calculate the square root, expression in parentheses, and exponent. 5 + 9 + 36 Step 2: Perform the additions from left to right. 14 + 36 50 The result is 50. b) (sqrt(9)) + sqrt(36) - (6+2) Step 1: Calculate the square roots and expression in parentheses. 3 + 6 - 8 Step 2: Perform the operations from left to right. 9 - 8 1 The result is 1. c) sqrt(125) + (3) + (5-6) Step 1: Simplify the square root and calculate the expression in parentheses. sqrt(25 × 5) + 3 + (-1) 5sqrt(5) + 3 - 1 Step 2: Perform the addition and subtraction. 5sqrt(5) + 2 The result is 5sqrt(5) + 2. d) (5+4) - (5^3) - ([3]8) Step 1: Calculate the expression in parentheses, exponent, and cube root. 9 - 125 - 2 Step 2: Perform the subtractions from left to right. -116 - 2 -118 The result is -118. e) (10-5) + (sqrt(81)) - (6^2) Step 1: Calculate the expression in parentheses, square root, and exponent. 5 + 9 - 36 Step 2: