Algebra 1 Common Core Student Edition, Grade 8-9

J Lesso n Ch eck

Do y o u k n o w H OW?

Simplify each radical expression.

1. V98 2. V l 6 p


2. 3V5m • 4

c

V3

|m3

6. V6

V2«

_ ..... ^ MATHEMATICAL

Do y o u UN DERSTAN D? PRACTICES

7. Vocabulary Is the radical expression in simplified
   form? Explain.
   a.V3l b. 7 V ^ c. —5 V 1 7 5

8. C o m p a r e a n d C o n t r a s t Simplify H = two different

ways. Which way do you prefer? Explain.

9. W riting Explain how you can tell whether a radical
   expression is in simplified form.

Pr act i ce an d Pr o b l em - So l v i n g Ex er ci ses

MATHEMAIICAL

PRACTICES

Practice Simplify each radical expression.

10. V225


11. -4VH 7


12. 3 V K k?

Simplify each product.

22. V8 • V32


23. 5V6 • |V2l6
    11. V99
    15. 5V700
    19. -2 1 V 2 7 X 3
    12. VI28
    16. V 192s2


24. 3 V l50b 8

See Problems 1 and 2.

13. -V60


14. V O T f 5


15. 3 V5c • 7V15?


16. -9 V28a2 • iV 63a


17. |V6 • V24


18. -5 V 2 I • (-3 V42)


19. V2y • V 128y5


20. 10 V i a? • 2 Vfrc3


21. —2 V243y3

^9 See Problem 3.

24. 4 V lo • 2 V90
    27. Vl8n • V98n3
    30. —6 V m s 3 • 2V75
    33. - I V 18 C 3 • l-6 V 8 c 9'


25. Construction Students are building rectangular wooden frames for the set of a See Problem 4.
    school play. The height of a frame is 6 times the width w. Each frame has a brace
    that connects two opposite corners of the frame. What is a simplified expression for
    the length of a brace?


26. Park A park is shaped like a rectangle with a length 5 times its width w. What is a
    simplified expression for the distance between opposite corners of the park?

Simplify each radical expression. See Problems 5 and^6.

36.VI 37. 7 V! 38.-4* V 729a/M^ 39. / 3x3^

V 64JC2

40. 41.W

'49a5

4a3 42.

1

VTT

43.V8xVT

44.3 V 6^

Vl5

45.^22
vTT
46.^2 V^24
Vist3

47.8 V 7 I^

V28s3

| Lesso n 10- 2 Sim p lif ying Rad icals^623