LISTA DE EXERCÍCIOS - OPERAÇÕES COM NÚMEROS REAIS

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Lista de exercícios sobre operações com números reais, potenciação e radiciação.

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LISTA DE EXERCÍCIOS - OPERAÇÕES COM NÚMEROS REAIS

  1. 1. EXERC´ (a) 4ax − 8ay ICIOS (b) x2 − 67 1. Determine o valor das express˜es o (c) ax − ay + 2x − 2y 2 (a) 20 − (−45) : (−3) + (−2) · (d) x2 + 6x + 9 (−1)3 (e) 81a2 − 18a + 1 (b) −(−2)3 + (−1)6 + (−1)0 − √ 3 1 − 5b (f) a 25 − 32 − 52 : 25 5 √ (g) a − b4 4 −(−2)2 − 3 27 (c) (−3 + 5)0 − 2 6. Simplifique as fra¸˜es: co −2 −1 (d) 2−1 + 6 · 2 − −1 3 3 x2 + xy −4 0 (a) 1 1 1 : ·(4−1 )2 + − 2x (e) 2 2 6 4ac + 10ac2 (b) 9 256 · 4 12a2 c (f) 87 a4 + a3 b − ab3 − b4 (c) 1256 · 25−3 a2 − b 2 (g) (52 )−3 · 257 7ax + ay + 7bx + by √ (d) 3 −1 (h) ax − ay + bx − by √ 1 1 3 − 8 + 16 4 − (−2) + 27 3 (i) 2. Simplifique as express˜es: o √ √ (a) 80 + 20 √ 5 4 3 16 · 18 − (b) 5+ 9 3. Racionalize os denominadores das express˜es: o 1 (a) √ 3 2 √1 (b) 5−2 −1 −2 −2 −2 −3 4. Se x = a−1 +b−1 e y = a +b a +b , a calcule o valor de x.y quando a = 2 e b = 1. 5. Fatore as express˜es ao m´ximo: o a 1
  2. 2. RESPOSTAS 1. (a) 27 (b) 0 (c) (d) 17 (e) 3 (f) 25 = 32 (g) 54 = 625 (h) −1 (i) 5 √ 2. (a) 6 5 (b) 2 √ [3]4 3. (a) 2 √ (b) 5 + 2 4 4. 3 5. (a) 4a(x − 2y) (b) (x + 8)(x − 8) (c) (x − y)(a + 2) (d) (x + 3)2 (e) (9a − 1)2 1 − b) (f) (3a 5 (g) (a + b2 )(a + b)(a − b) 2 x+y 6. (a) 2 2+5c (b) 6a (c) a + ab + b2 2 7x+y (d) x−y 2

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