Question

$\sqrt[3]{189} - \sqrt[3]{448} - \sqrt[3]{875}$
sinplificar as expressões
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Answer 1

Explicação passo-a-passo:

Veja que:

$189=3^3\cdot7$

$448=2^6\cdot7$

$875=5^3\cdot7$

Assim:

$\sqrt[3]{189}=\sqrt[3]{3^3\cdot7}=3\sqrt[3]{7}$

$\sqrt[3]{448}=\sqrt[3]{2^6\cdot7}=2^2\sqrt[3]{7}=4\sqrt[3]{7}$

$\sqrt[3]{875}=\sqrt[3]{5^3\cdot7}=5\sqrt[3]{7}$

Logo:

$\sqrt[3]{189}-\sqrt[3]{448}-\sqrt[3]{875}=3\sqrt[3]{7}-4\sqrt[3]{7}-5\sqrt[3]{7}=-6\sqrt[3]{7}$

Answer 2

Resposta:

- 6∛7

Explicação passo-a-passo:

∛189 - ∛448 - ∛875

∛3³.7 - ∛4³.7 - ∛5³.7

3∛7 - 4∛7 - 5∛ 7

(3 - 4 - 5)∛7

(3 - 9∛7

- 6∛7

Bons estudos.