36-38. Simplify each expression. Include absolute value bars when necessary. 36. 37. 38. 39-40. Multiply and Simplify. 39. 2 3 40. ∙ ∙ 41-42. Simplify using the quotient rule for radicals. 41. 42. 43-44. Divide and, if possible, simplify. 43. 44. 45-46. Rationalize the denominator. 45. 46. 47-48. Solve the radical equation. 47. = 2x 1 48. x = 4 + − 49-50. In a right triangle, find the length of the side not given. Give an exact answer and, a b where appropriate, an approximation to three decimal places. Note: and represent the lengths of legs and c is the length of the hypotenuse of a right triangle. 49. a = 9, b = 6. 50. a = 4, c = 7 51-52. Perform the indicated operation and simplify. Write each answer in the form a + bi. 51. (7 2i)(8 + 5i) 52. – 53-54. Solve the quadratic equation by completing the square. You must show your work. 53. x 6x 4 = 0 54. x = 4x + 8 − −
36-38. Simplify each expression. Include absolute value bars when necessary. 36. 37. 38. 39-40. Multiply and Simplify. 39. 2 ∙ 3 40. ∙ 41-42. Simplify using the quotient rule for radicals. 41. 42. 43-44. Divide and, if possible, simplify. 43. 44. 45-46. Rationalize the denominator. 45. 46. 47-48. Solve the radical equation. 47. = 2x − 1 48. x = 4 + 49-50. In a right triangle, find the length of the side not given. Give an exact answer and, where appropriate, an approximation to three decimal places. Note: a and b represent the lengths of legs and c is the length of the hypotenuse of a right triangle. 49. a = 9, b = 6. 50. a = 4, c = 7 51-52. Perform the indicated operation and simplify. Write each answer in the form a + bi. 51. (7 – 2i)(8 + 5i) 52. 53-54. Solve the quadratic equation by completing the square. You must show your work. 53. x − 6x − 4 = 0 54. x = 4x + 8