Unit 4 test

Unit 4: How Radical Are You?242

Practice

Simplify each radical expression.

Remember: Never leave a perfect square factor under a radical sign.

1. 50 =

2. 27 =

3. 125 =

4. 64 =

5. 13 =

6. 32 =

7. 12 =

8. 45 =

9. 300 =

10. 8 =

Unit 4: How Radical Are You? 243

Practice

Simplify each radical expression.

1. 48 =

2. 2 40 =

3. 60 =

4. 242 =

5. 28 =

6. - 200 =

7. - 250 =

8. 108 =

9. 405 =

10. 5 90 =

Unit 4: How Radical Are You?246

Practice

Simplify each radical expression.

Remember: Never leave a square root in the denominator.

Example: •65 = 6 5 5

5 = 6 5 = 6 5 5

25

Show all your steps.

1. 72 =

2. 56 =

3. 13 =

4. 35 =

5. 518 =

6. 43 =

7. 710 =

8. 37 =

9. 411 =

10. 215 =

Unit 4: How Radical Are You? 247

Practice

Simplify each radical expression.

Example: •106 = 10 6 6

6 = 10 6 = 636

10 6 = 3

5 6

1. 96 =

2. -28 =

3. 27 =

4. 55 =

5. 23 =

6. 318 =

7. 13 =

8. -520 =

9. 3 56 =

10. 7 35 =

Unit 4: How Radical Are You?248

Practice

Match each definition with the correct term. Write the letter on the line provided.

______ 1. a number whose square root is a whole number

______ 2. a number under the radical sign that is not a product with a perfect square factor

______ 3. the symbol ( ) used before a number to show that the number is a radicand

______ 4. terms that have the same variables and the same corresponding exponents

______ 5. a real number that cannot be expressed as a ratio of two integers

______ 6. a number or expression that divides evenly into another number

______ 7. a numerical expression containing a radical sign

______ 8. a real number that can be expressed as a ratio of two integers

______ 9. a positive real number that can be multiplied by itself to produce a given number

A. factor

B. irrational number

C. like terms

D. perfect square

E. radical expression

F. radical sign

G. rational number

H. simplest radical form

I. square root

Unit 4: How Radical Are You?268

Practice

Simplify each of the following. Refer to the examples on page 267 as needed.

1.

2.

3.

4.

( 6 – 2)( 5 + 7) =

(5 – 3)(2 + 7) =

(4 + 5 2)(2 – 2) =

(2 5 – 3)( 5 + 6) =

Unit 4: How Radical Are You? 269

5.

6.

7.

8.

(4 – 3 10)(2 – 10) =

(2 7 – 3)(5 7 + 1) =

( 5 – 7)(3 5 + 7) =

( 10 – 6)( 7 – 13) =

Unit 4: How Radical Are You?270

9.

10.

11.

12.

(3 + 10)(3 – 10) =

(3 6 + 2 3)( 5 – 2) =

(4 3 – 5)(3 3 – 5) =

(6 5 + 4)(6 5 – 4) =