3-8 Practice B.pdf - MrWalkerHomework

Name Date Class
LESSON
3-8
Practice B
Squares and Square Roots
10. 100
19
14. 36 36
4
Find the two square roots for each number.
1. 36 2. 81 3. 49 4. 100
5. 64 6. 121 7. 25 8. 144
Evaluate each expression.
9. 32 17
13. 264 10
11. 64 36
15. 100 25
49
81
17. 18. 3.516 19. 20.
9
12. 73 48
16. 121 16
144
6
The Pyramids of Egypt are often called the first wonder of the world.
This group of pyramids consists of Menkaura, Khufu, and Khafra.
The largest of these is Khufu, sometimes called Cheops. During this
time in history, each monarch had his own pyramid built to bury his
mummified body. Cheops was a king of Egypt in the early 26th
century B.C. His pyramid’s original height is estimated to have been
482 ft. It is now approximately 450 ft. The estimated completion date
of this structure was 2660 B.C.
21. If the area of the base of Cheops’ pyramid is 570,025 ft 2 , what is
the length of one of the sides of the ancient structure
(Hint: s A)
22. If a replica of the pyramid were built with a base area of
625 in 2 , what would be the length of each side
(Hint: s A)
Copyright © by Holt, Rinehart and Winston.
75 Holt Middle School Math
All rights reserved.

LESSON
3-8
Practice A
Squares and Square Roots
Find the two square roots for each number.
1. 16 2. 49 3. 1 4. 25
4, 4
5. 100 6. 4 7. 81 8. 64
10, 10
Evaluate each expression.
9. 8 1 10. 7 6
3
13. 36 10
4
7, 7
2, 2
1
14. 15 25
15
1, 1
9, 9
11. 18 2
15. 49 4
2
12. 31 5
16. 16 9
16
10
5
13
64
100
17. 18. 59 19. 2 5
20. 381
Switzerland’s flag is a square, unlike
other flags that are rectangular.
21. If the flag of Switzerland has an area
of 81 ft 2 , what is the length of each of
its sides (Hint: s A)
9 ft
22. If the lengths of the sides of a
Switzerland flag are 10 ft, what is the
area of the flag (Hint: A s 2 )
4
5, 5
8, 8
6
27
LESSON
3-8
Find the two square roots for each number.
1. 36 2. 81 3. 49 4. 100
6, 6
9, 9
7, 7 10, 10
5. 64 6. 121 7. 25 8. 144
8, 8 11, 11 5, 5 12, 12
Evaluate each expression.
9. 32 17
13. 264 10
10. 100
19
14. 36 36
11. 64 36
15. 100 25
The Pyramids of Egypt are often called the first wonder of the world.
This group of pyramids consists of Menkaura, Khufu, and Khafra.
The largest of these is Khufu, sometimes called Cheops. During this
time in history, each monarch had his own pyramid built to bury his
mummified body. Cheops was a king of Egypt in the early 26th
century B.C. His pyramid’s original height is estimated to have been
482 ft. It is now approximately 450 ft. The estimated completion date
of this structure was 2660 B.C.
21. If the area of the base of Cheops’ pyramid is 570,025 ft 2 , what is
the length of one of the sides of the ancient structure
(Hint: s A)
755 ft
22. If a replica of the pyramid were built with a base area of
625 in 2 , what would be the length of each side
(Hint: s A)
25 in.
Practice B
Squares and Square Roots
7
1 3 4
9
14
3
12. 73 48
16. 121 16
26
30
5
27
49
144
17.
81
18. 3.516 19. 20. 4 9
6
10
5
2
100 ft 2 Copyright © by Holt, Rinehart and Winston.
75 Holt Middle School Math
Copyright © by Holt, Rinehart and Winston.
74 Holt Middle School Math
All rights reserved.
All rights reserved.
LESSON
3-8
Practice C
Squares and Square Roots
Find the two square roots of each number.
1. 225 2. 576 3. 361 4. 625
15, 15
5. 400 6. 729 7. 1024 8. 2500
20, 20
24, 24
27, 27
19, 19
32, 32
Evaluate each expression.
1
36
16
100
9. 10. 11. 12. 9
25
64
4
1 1 3
11 5
2
5
81
196
25
576
13. 14. 15. 16.
324 49
225
144
2
1 2
2
1 3
36
17. 2 144
18. 676 15
19. 49 441 169
Evaluate each expression.
1
11
41
20. The distance from base to base, home plate included, on a
baseball field is 90 ft. The bases form a square. What is its
area
8100 ft 2
Switzerland’s flag is a square, unlike
other flags that are rectangular.
21. Suppose a seamstress is making a
flag that has to have an area less
than 50 square meters. What is the
longest length, to the nearest tenth,
the sides can be
(Hint: s A)
7.0 m
25, 25
50, 50
LESSON
3-8
A perfect square has two identical factors.
25 5 5 5 2 or 25 (5) (5) (5) 2 then 25 is a perfect square.
Tell if the number is a perfect square.
If yes, write its identical factors.
1. 121 11 2 or (11) 2
2. 200 not a perfect square
3. 400 20 2 or (20) 2
Since 5 2 25 and also (5) 2 25,
both 5 and 5 are square roots of 25.
The principal square root of 25 is 5: 25 5
Write the two square roots of each number.
4. 81 9
5. 625 25
81
625
6. 169
169
Write the principal square root of each number.
7. 144 12 8. 6400 80 9. 10,00 0
Use the principal square root when
evaluating an expression. For the
order of operations, do square root
first, as you would an exponent.
Complete to evaluate each expression.
10. 3144 20
100
11. 25 144 13 12. 1 2
3 12 20 169
10
13 2 0 1 2
36
Reteach
Squares and Square Roots
16
9
13
25 5 and 25 5
20 13 1 2 1 2
26
25
5100 3
5(10) 3
50 3
47
20
100
1
13
13
Copyright © by Holt, Rinehart and Winston.
76 Holt Middle School Math
All rights reserved.
Copyright © by Holt, Rinehart and Winston.
77 Holt Middle School Math
All rights reserved.
Copyright © by Holt, Rinehart and Winston.
131 Holt Middle School Math
All rights reserved.