Square Roots TSWBAT find square roots of perfect squares; find approximate roots of imperfect squares.

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Presentation transcript:

Square Roots TSWBAT find square roots of perfect squares; find approximate roots of imperfect squares

Square roots Square root Radical Sign Is one of two equal factors of a number Principal square root The positive root Negative square root The negative root Radical Sign The square root sign √

Square roots Perfect square 1 12 =1 √1 =1 2 22 =4 √4 =2 3 32 =9 √9 =3 Are the squares of natural numbers Natural number square Square root 1 12 =1 √1 =1 2 22 =4 √4 =2 3 32 =9 √9 =3 4 42 =16 √16 =4 5 52 =25 √25 =5 6 62 =36 √36 =6 7 72 =49 √49 =7 8 82 =64 √64 =8 9 92 =81 √81 =9 10 102 =100 √100 =10 11 112 =121 √121 =11 12 122 =144 √144 =12 13 132 =169 √169 =13 14 142 =196 √196 =14 15 152 =225 √225 =15

Approximate value of non-perfect squares A number that is not the square of a natural number Find two consecutive integers that the square root is between by locating what to perfect squares it falls between

Approximate square roots √12 Is between √9 and √16 Between 3 and 4 √38 Between √36 and √49 Between 6 and 7

Approximate square roots √75 √64 and √81 8 and 9 √130 √121 and √144 11 and 12

Approximate square roots - √29 √25 and √36 -5 and -6 - √57 √49 and √64 -7 and -8

Problems Tricia estimates that √85 is about 8. Do you agree or disagree? Why? Is √37 more or less than 6? Explain. Is 9.5 a good first guess for √75? Why or why not?

In your workbook Complete problems 19-38 on page 2