Review: 9.1a Mini-Quiz1. 25 2. 3. 0 4. –4

Find the positive and negative nth roots of each number.5. The fourth root of –256 6. The cube root of 27 7. The fourth root of 1/81 8. The cube root of 1/8

Find the principal nth roots of each number.9. The sixth root of 6410. The fifth root of –1

Find the positive and negative square roots of each number.

Objective: The student will define perfect square, rational and irrational numbers. The student will classify numbers as rational or irrational. The student will learn the technique for estimating radicals.

Lesson 9-1b

Roots and Radicals

A. whole number

B. irrational number

C. rational number

D. natural number

Name the set of numbers to which the real

number belongs.

A. whole number

B. irrational number

C. rational number

D. natural number

Name the set of numbers to which the real

number belongs.

Estimate Square Roots

• The first perfect square less than 22 is 16.

Answer: 5

The square root of 22 is between the whole numbers 4 and 5. Since 22 is closer to 25 than 16, you can expect that is closer to 5 than 4.

• The first perfect square greater than 22 is 25.

• Plot each square on a number line.

Answer: –18

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 6

B. 7

C. 8

D. 9

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 12

B. –11

C. –12

D. –13

1. A

2. B

3. C

4. D

0%0%0%0%

A B C D

A. 2

B. 2/3

C. 1

D. –14

32

18

Homework507/73-103 odd

73.

75.

43

12