Radicals Quiz

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Radicals Quiz
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Identify the index of
A.
.
B. 3
C. 7
D. 2
C. 6
D. 8
B. 2.6
C. 16
D. 1.41
B. impossible
C. –12.8
D. 4
B. 0.007
C. 0.1143
D. 0.49
B.
C.
D.
B. 0.0042
C. 0.13
D. 0.013
2. Identify the radicand of
A. 4
B.
3. Evaluate
A. 2
4. Evaluate
A. –4
.
.
5. Evaluate
A. 0.7
6. Evaluate
.
.
A.
7. Evaluate
A. 0.0085
.
.
8. Write an equivalent form of 0.4 as a fourth root.
A.
B.
C.
D.
9. Which of these roots lies between 3 and 4?
,
,
,
A.
B.
D.
C.
Problem (Must Show Work)
10. A cube has surface area 2646 m2. What is its volume?
11. Use factoring to determine whether 4913 is a perfect square, a perfect cube, or neither.
12. Germaine wants to paint a cube with volume 2744 m3. Each tub of paint covers 79 m2. How many tubs of paint
does Germaine need to paint the cube?
13.
A cube has volume 9261 cubic inches. Determine the area of one face of the cube.
14. Evaluate
15. Evaluate
.
.
16. Estimate the value of
to one decimal place.
Radicals Quiz
Answer Section
MULTIPLE CHOICE
1.
2.
3.
4.
5.
6.
7.
8.
9.
B
B
A
A
A
A
C
A
C
PROBLEM
10. To calculate the volume, first determine the edge length of the cube.
The surface area of a cube is the sum of the areas of its 6 congruent square faces.
So, the area, A, of one face is:
The edge length, e, of the cube is the square root of the area of one square face.
So, the volume, V, of the cube is the cube of its edge length.
The volume of the cube is 9261 m3.
11. Write 4913 as a product of its prime factors.
12. To calculate how many tubs of paint are needed, first determine the surface area of the cube.
The edge length, e, of a cube is equal to the cube root of its volume.
The surface area, SA, of a cube is the sum of the areas of its 6 congruent square faces.
Calculate how many tubs of paint are needed:
Germaine needs 15 tubs of paint to paint the cube.
13. 441 square inches
14.
15.
16. 5.9
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