Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
Study Guide and Intervention (continued) - MathnMind
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2-7<br />
NAME ______________________________________________ DATE ____________ PERIOD _____<br />
<strong>Study</strong> <strong>Guide</strong> <strong>and</strong> <strong>Intervention</strong><br />
Square Roots <strong>and</strong> Real Numbers<br />
Square Roots A square root is one of two equal factors of a number. For example, the<br />
square roots of 36 are 6 <strong>and</strong> 6, since 6 6 or 6 2 is 36 <strong>and</strong> (6)(6) or (6) 2 is also 36. A<br />
rational number like 36, whose square root is a rational number, is called a perfect<br />
square.<br />
The symbol is a radical sign. It indicates the nonnegative, or principal, square root of<br />
the number under the radical sign. So 36 6 <strong>and</strong> 36 6. The symbol 36<br />
represents both square roots.<br />
Example 1 25<br />
Find .<br />
49<br />
Example 2<br />
25<br />
25<br />
represents the negative square root of . 49<br />
49<br />
25<br />
49<br />
2 → 5 5<br />
25<br />
<br />
7<br />
49 7<br />
Exercises<br />
Find each square root.<br />
Find 0.16 .<br />
0.16 represents the positive <strong>and</strong><br />
negative square roots of 0.16.<br />
0.16 0.42 <strong>and</strong> 0.16 (0.4) 2<br />
0.16 0.4<br />
1. 64 2. 81 3. 16.81 <br />
4<br />
4. 100 5. 6. 121 <br />
25<br />
25<br />
25<br />
121<br />
7. 8. 9. <br />
144<br />
10. 3600 11. 6.25 12. 0.000 4<br />
144<br />
36<br />
13. 14. 15. 1.21 <br />
196<br />
49<br />
16<br />
© Glencoe/McGraw-Hill 111 Glencoe Algebra 1<br />
100<br />
Lesson 2-7
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