6-5 Operations with Radical Expressions
Simplify.
25. 23. SOLUTION: SOLUTION: 36. GEOMETRY Find the exact surface area of a
sphere with radius of
inches.
24. SOLUTION: The surface area of a sphere of radius r is
.
SOLUTION: The surface area of the sphere is
square inches.
25. Simplify.
SOLUTION: 38. SOLUTION: eSolutions Manual - Powered by Cognero
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The surface area of the sphere is
square inches.
6-5 Operations with Radical Expressions
Simplify.
44. 38. SOLUTION: SOLUTION: 40. SOLUTION: Simplify.
45. SOLUTION: 42. 46. SOLUTION: SOLUTION: 47. SOLUTION: 44. SOLUTION: eSolutions Manual - Powered by Cognero
48. SOLUTION: Page 2
6-5 Operations with Radical Expressions
51. 48. SOLUTION: SOLUTION: 49. SOLUTION: 52. SOLUTION: 50. SOLUTION: 53. SOLUTION: 51. Manual - Powered by Cognero
eSolutions
SOLUTION: 54. APPLES The diameter of an apple is related to its
weight and can be modeled by the formula
w 3
, where d is the diameter in inches andPage
is the weight in ounces. Find the diameter of an apple
that weighs 6.47 ounces.
6-5 Operations with Radical Expressions
54. APPLES The diameter of an apple is related to its
weight and can be modeled by the formula
, where d is the diameter in inches and w
is the weight in ounces. Find the diameter of an apple
that weighs 6.47 ounces.
62. CCSS ARGUMENTS For what values of a is
a real number? Explain.
SOLUTION: 0 is the only possible value for a since
SOLUTION: Substitute 6.47 for w and simplify.
for
, and
is defined for is defined
.
63. CHALLENGE Find four combinations of whole
numbers that satisfy
.
SOLUTION: The diameter of the apple is about 2.69 inches.
61. CHALLENGE Show that
is a cube root
of 1.
SOLUTION: 64. OPEN ENDED Find a number other than 1 that has
a positive whole number for a square root, cube root,
and fourth root.
SOLUTION: The LCM of 2, 3 and 4 is 12.
Sample answer: 4096
62. CCSS ARGUMENTS For what values of a is
a real number? Explain.
SOLUTION: is defined
0 is the only possible value for a since
for
, and
is defined for .
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63. CHALLENGE Find four combinations of whole
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