Question

matematica radiciação

$\sqrt[4]{2401} \\\\\sqrt[3]{1000} \\ \sqrt[4]{6561} \\\\\sqrt[]{16} \\\\\sqrt[3]{3375}$

Answer 1

$\sqrt[4]{2401} = \sqrt[4]{7 {}^{4} } = 7$

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

$\sqrt[4]{6561} = \sqrt[4]{3 {}^{8} } = 3 {}^{ \frac{8}{4} } = 3 {}^{2} = 9$

$\sqrt{16} = \sqrt{2 {}^{4} } = 2 {}^{ \frac{4}{2} } = 2 {}^{2} = 4$

$\sqrt[3]{3375} = \sqrt[3]{3 {}^{3} \times 5 {}^{3} } = 3 \times 5 = 15$