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a. 64. 36. because. 6. = 36. 2. –. b. because. (–8). = 64. 2. ( ). 2. c. because. =. =. 2. 2. 5. 5. 2. d. 0.81. because. (0.9). = 0.81. 4. 4. 25. 25. EXAMPLE 1. Evaluating Square Roots. = 6. = –8. = 0.9. 95. 95. 95. 95.
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a. 64 36 because 6 = 36 . 2 – b. because (–8) = 64 . 2 ( ) 2 c. because . = = 2 2 5 5 2 d. 0.81 because (0.9) = 0.81 . 4 4 25 25 EXAMPLE 1 Evaluating Square Roots = 6 = –8 = 0.9
95 95 95 95 You can use a number line to approximate to the nearest whole number. Because is between 9 and 10, you need to decide whether is closer to9or 10. ( ) 2 Find 9.5. You can calculate that 9.5 = 90.25 and = 95. 2 2 EXAMPLE 2 Standardized Test Practice SOLUTION
90.25 and As shown on the number line, 95 95 95 is between 100 , so it has a value between 9.5 and 10. Therefore, is closer to 10 than it is to 9. ANSWER 10. To the nearest whole number, The correct answer is C. EXAMPLE 2 Standardized Test Practice
0 0 1. 4 4 ANSWER 2 = 2. ANSWER 0 = for Examples 1 and 2 GUIDED PRACTICE Find or approximate the square root to the nearest integer.
81 36 81 36 3. – – – – ANSWER –6 = 4. ANSWER –9 = for Examples 1 and 2 GUIDED PRACTICE Find or approximate the square root to the nearest integer.
23 41 41 23 5. ANSWER = 5 6. ANSWER 6 = for Examples 1 and 2 GUIDED PRACTICE Find or approximate the square root to the nearest integer.
7. ANSWER = 1 81 81 25 25 8. 0.36 0.36 ANSWER 1 = for Examples 1 and 2 GUIDED PRACTICE Find or approximate the square root to the nearest integer.