Algebra 1 Common Core Student Edition, Grade 8-9

Got It? 3. Write each radical expression in exponential form.

a. ^ b. c. V ( 4 y ) 5 d. ^ 256a8

How can you find the

app roxim at e value of

the expression?

Yo u c a n u se 1 8 A ( 3 / 4 ) t o

simplify the radical using

a cal cul at o r.

Using a Radical Expression

Bi o l o g y You can estimate the metabolic rate of living organisms based on body mass

using Kleiber's law. The formula R = 73.3 relates metabolic rate R measured in

Calories per day to body mass M measured in kilograms. What is the metabolic rate

of a dog with a body mass of 18 kg?

R = 73.3 X^M8

= 73.3 X/^188 Su b st i t u t e 1^8 for M.

~ 640.5578436 Use a calculat o r t o simp lif y.

The metabolic rate is about 641 Calories per day.

Got It? 4. What is the metabolic rate of a man with a body mass of 75 kg?

Lesso n Ch eck

Do yo u k n o w H OW?

Simplify each expression.

1. V64 2. X/fU i. (XK125]4

Write each expression using rational exponents in

radical form and each radical expression in exponential

form.

4. V x 5. cs 6. ( 8 d)i 7.

__ MATHEMATICAL

Do yo u UN DERSTAN D? V g J PRA CTI CES

8. Error Analysis What is the error in
   the problem at the right? What is the
   correct answer?


9. Write a rule for multiplying two radicals
   with the same radicand. Justify why
   your rule works.


10. Does V 48 - V 4 = 4? Explain why or why not.

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

Pr act i ce What is the value of each expression?

11. X/49 12. Vi

14. X ^81 15. X / 2 I 6

Write each expression in radical form.

17. fl3


18. zi


19. (98rf)5

450 Ch ap t er 7 Ex p o n e n t s a n d Ex p o n e n t i a l Fu n c t i o n s

18. (64b)?

21. (25x)s

24. 18b4

MATHEMATICAL

PRA CTI CES

4^ See Problem 1.

13. ^ 6 2 5


14. X/81


15. 25xi

22. 27ai

25. (24c)i

Se e Pr o b l e m 2.