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adiosdanie
@adiosdanie
October 2020
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Usando as regras de produtos notáveis, calcule:
A) (√3+
√6)2
B) (2
√5+3).(2
√5-3)
C) (
√2-
√6)²
D) (2
√2+4).(2
√2-4)
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fagnerdi
A) (√3+
√6)
² =
(√3)² + 2√3√6 + (√6)² = 3+6√2+6 =
9+6√2
B) (2
√5+3).(2
√5-3)
(2
√5)² - 3² => 4.5-9=> 20-9=>
11
C) (
√2-
√6)²
(
√2
)
²- 2√2√6 +
(
√6
)
²
2- 4
√3 + 6 =>
8 - 4√3
D) (2
√2+4).(2
√2-4)
(2
√2)² - 4² => 4.2 -16 => 8-16 =>
8
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(√3)² + 2√3√6 + (√6)² = 3+6√2+6 = 9+6√2
B) (2√5+3).(2√5-3)
(2√5)² - 3² => 4.5-9=> 20-9=> 11
C) (√2-√6)²
(√2)²- 2√2√6 + (√6)²
2- 4√3 + 6 => 8 - 4√3
D) (2√2+4).(2√2-4)
(2√2)² - 4² => 4.2 -16 => 8-16 => 8