Chapter 6 worksheet answers - Welcome to Mrs. Prindle's

Practice Form G Simplifying Radicals ... Simplifying Radicals Simplify each radical expression. ... Chapter 6 worksheet answers...

775 downloads 1445 Views 62KB Size
Name 

Class 

Date 

Practice

Form G

Simplifying Radicals Simplify each radical expression. 1. 1169 13

2. 1200 10 12

3. 1125 5 15

4. -51112 −20 17

5. 168 2 117

6. 3 1121 33

7. 263t 4 3t 2 17

8. 248n3 4n13n

9. - 260m7 −2m3 115m

10. x 2150x 5 5x 3 16x

11. -3 245y 3 −9y 15y

Simplify each product. 13. 16

# 130 6 15

16. -417

# 142 −28 16

19. -3140x

# 2 256x5

−48x 3 135

14. 15

# 170 5 114

17. 14a

15. 2 13

# 212a5 4a 13

3 20. 4 212t 3 3t 3 115

3

# 220t 3

12. -2b 2136b2 −4b2 134

# 196 24 12

18. 22n2

# 130n 2n115n

21. 4 214d 2

28d 2 12d

# 12 228d3

22. A pool is shaped like a rectangle with a length 4 times its width w. What is an

expression for the distance between opposite corners of the pool? w 117

23. Evelyn rode her horse along a triangular path. The distance she traveled south

was five times the distance she traveled east. Then she rode directly back to her starting point. What is an expression for the total distance she rode? 6x + x 126

Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

Name 

Class 

Date 

Practice (continued)

Form G

Simplifying Radicals Simplify each radical expression. 36 6 24. 5 49 7

81 9 25. 5 16 4

100 2 26. 5 225 3

18y 12 27. 5 36y 3 2y

2 49x5 28. 5 25x 7x 5

16a2 2a 29. 5 4 2 4b b

30.

33.

15 110 12 2

31.

125b 15 15b3 b

34.

112 2 15 115 5 124 2 12n n 13n

32.

35.

172 3 15 140 5 18 2 115 2 230m 15m

36. You are making a mosaic design on a square table top. You have already

covered half of the table top with 150 1-inch square tile pieces. a. What are the dimensions of the table top? 10 13 in. b. What is the measure of the diagonal from one corner to the opposite corner of the table top? 10 16 in.

SA 37. The equation r = 5 4p gives the radius r of a sphere with surface area SA. What

is the radius of a sphere with the given surface area? Use 3.14 for π.

a. 1256 in2 10 in.

b. 200.96 cm2 4 cm

c. 379.94 ft2 5.5 ft

38. Open-Ended What are three radical expressions that simplify to 2x 13? Answers may vary. Samples: 2 23x 2, x 112, 212x 2

Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.