a) √7² + √6 - (√6)² = √49 - √6 - √36 = 7 - √6 - 6 = 1 - √6
b) ∛12³ - (√17)² - √5 = 12 - 17 - √5 = -5 - √5
c) 3√5² + 2√5 - 2∛(-5)³ = 3 · 5 + 2√5 - 2 · (-5) = 15 + 2√5 - 10 = 5 + 2√5
d) -∛5³ - ∛7 - ∛-7 = -5 - ∛7 - (-∛7) = -5 - ∛7 + ∛7 = -5
Odpowiedź:
a)
√7² + √6 - (√6)² = 7 - 6 + √6 = 1 + √6
b)
∛12³ - (√17)² - √5 = 12 - 17 - √5 = -5 - √5
c)
3√5² + 2√5 - 2∛(-5)³ = 3 * 5 + 2∛5 + 2 * 5 = 15 + 10 + 2∛5 = 25 + 2∛5
d)
-∛5³ - ∛7 - ∛-7 = -5 - ∛7 + ∛7 = -5
√7² = √7 * √7 = 7
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a) √7² + √6 - (√6)² = √49 - √6 - √36 = 7 - √6 - 6 = 1 - √6
b) ∛12³ - (√17)² - √5 = 12 - 17 - √5 = -5 - √5
c) 3√5² + 2√5 - 2∛(-5)³ = 3 · 5 + 2√5 - 2 · (-5) = 15 + 2√5 - 10 = 5 + 2√5
d) -∛5³ - ∛7 - ∛-7 = -5 - ∛7 - (-∛7) = -5 - ∛7 + ∛7 = -5
Odpowiedź:
a)
√7² + √6 - (√6)² = 7 - 6 + √6 = 1 + √6
b)
∛12³ - (√17)² - √5 = 12 - 17 - √5 = -5 - √5
c)
3√5² + 2√5 - 2∛(-5)³ = 3 * 5 + 2∛5 + 2 * 5 = 15 + 10 + 2∛5 = 25 + 2∛5
d)
-∛5³ - ∛7 - ∛-7 = -5 - ∛7 + ∛7 = -5
√7² = √7 * √7 = 7
Szczegółowe wyjaśnienie: