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EXAMPLE 1 Evaluating Square Roots a. 36 = 6 6 because 2 b. 64 = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d. 0.81 = 0.9 because (0.9) 2 = 0.81 . 4 25 = . = 64 . = 36 .

EXAMPLE 1 Evaluating Square Roots a.36= 66 because 2 b.64 – = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d.0.81= 0.9 because (0.9) 2 = 0.81. 4 25

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Page 1: EXAMPLE 1 Evaluating Square Roots a.36= 66 because 2 b.64 – = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d.0.81= 0.9 because (0.9) 2 = 0.81. 4 25

EXAMPLE 1 Evaluating Square Roots

a. 36 = 6 6because 2

b. 64– = –8 because (–8) 2

c. 425

25= because ( )2

5

2

d. 0.81 = 0.9 because (0.9)2 = 0.81.

425

= .

= 64 .

= 36 .

Page 2: EXAMPLE 1 Evaluating Square Roots a.36= 66 because 2 b.64 – = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d.0.81= 0.9 because (0.9) 2 = 0.81. 4 25

EXAMPLE 2 Standardized Test Practice

SOLUTION

22

is closer to 9 or 10.

You can use a number line to approximate 95nearest whole number. Because

to theis between 9 and 10,

9595

you need to decide whetherFind 9.5. You can calculate that 9.5 = 90.25 and 95( )2= 95.

Page 3: EXAMPLE 1 Evaluating Square Roots a.36= 66 because 2 b.64 – = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d.0.81= 0.9 because (0.9) 2 = 0.81. 4 25

EXAMPLE 2 Standardized Test Practice

95

95

As shown on the number line, is between 90.25 and 100 , so it has a value between 9.5 and 10. Therefore,

is closer to 10 than it is to 9.

95

ANSWER

To the nearest whole number, 10.The correct answer is C.

Page 4: EXAMPLE 1 Evaluating Square Roots a.36= 66 because 2 b.64 – = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d.0.81= 0.9 because (0.9) 2 = 0.81. 4 25

GUIDED PRACTICE for Examples 1 and 2

Find or approximate the square root to the nearest integer.

1.

4

2. 0

ANSWER

4 = 2

ANSWER

0 0=

Page 5: EXAMPLE 1 Evaluating Square Roots a.36= 66 because 2 b.64 – = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d.0.81= 0.9 because (0.9) 2 = 0.81. 4 25

GUIDED PRACTICE for Examples 1 and 2

Find or approximate the square root to the nearest integer.

3.

36–

4. 81–

ANSWER

= –636–

ANSWER

81– = –9

Page 6: EXAMPLE 1 Evaluating Square Roots a.36= 66 because 2 b.64 – = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d.0.81= 0.9 because (0.9) 2 = 0.81. 4 25

GUIDED PRACTICE for Examples 1 and 2

Find or approximate the square root to the nearest integer.

5.

23

6. 41

ANSWER

41 = 6

ANSWER

=23 5

Page 7: EXAMPLE 1 Evaluating Square Roots a.36= 66 because 2 b.64 – = –8 because (–8) 2 c. 4 25 2 5 = because ( ) 2 5 2 d.0.81= 0.9 because (0.9) 2 = 0.81. 4 25

GUIDED PRACTICE for Examples 1 and 2

Find or approximate the square root to the nearest integer.

7.

2581

8. 0.36

ANSWER

= 1 2581

ANSWER

0.36 = 1