Question

3✓1000
$\sqrt[3]{1000 }$
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Answer 1

Olá,

Temos a raiz:

$\tt \: \sqrt[3]{1000}$

Podemos fatorar a radicando da seguinte forma:

$\tt1000 = 1\underbrace{000}_{3 \:dígitos \: 0 } = 1 {0}^{\overbrace{3}^{3 \:dígitos \: 0 }} = {10}^{3}$

Logo:

$\tt \sqrt[3]{1000} \\ \tt = \sqrt[3]{ {10}^{3} } \\ \tt = \sqrt[ \cancel3]{ {10}^{ \cancel3} } \\ \tt = 10$

Portanto:

$\tt \large{ \boxed{ \boxed{ \tt \sqrt[3]{1000} = 10}}}$

Answer 2

∛1000

∛2³ × 5³

2 × 5 = 10

Resposta: 10