Conquista da Matemáticaresolucao

Page 321

7.

(7 1 5 ) ? (7 2 5 ) 5

71 5 ? 72 5 5

72 2

( 5)

2

5 49 2 5 5

5 44 5 22 ? 11 5 2 11 8.

10 1 10 ? 10 2 10 5

(10 1

)(

)

10 ? 10 2 10 5 102 2

(

10

)

2

5 100 2 10 5

5 90 5 2 ? 32 ? 5 5 3 10

(

)(

)

9. 25 1 2 7 ? 4 1 7 2 3 7 52 20 2 5 7 1 8 7 1 14 2 3 7 5 52 6 1 3 7 2 3 7 52 6

(

)(

10. 4 2 1 3 ?

)

2 21 5 4 2 ? 2 24 2 13 2 23 5

58 2 2 23552 2 Considerando 2 5 1, 41, temos: 5 2 2 5 5 2 1, 41 5 3,59

(41 2 ) ? (4 2 2 ) 5 4 2 ( 2 ) (3 1 3 ) ? (3 2 3 ) 3 2 ( 3 )

2

2

11. 12.

2

2

5

16 2 2 14 7 5 5 9 23 6 3

a) 2 ? x 5 6 ? 24 2x 5 144 2x 5 24 ? 32 2x 5 4 ? 3 12 x5 2 x 56 b) 9? x 5

(

)( 9x 5 ( 13 ) 2 ( 10 ) 13 2 10 ? 2

13 1 10

)

2

9x 5 13 2 10 3 x5 9 1 x5 3  13. V 5 9 ? 6 2 2 ? 6 1 2 5 9 ? 62 2  V 5 306 cm3

(

)(

)

( 2 )  5 9 ? (36 2 2) 5 306 2

13 – Dividindo expressões com radicais de mesmo índice Exercícios, página 75. 1. a)

15 ; 3 5

15 5 5 3

321


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