Question

simplifique os radicais quando possivel
$\sqrt[10]{7 {}^{8} }$
$\sqrt[3]{384}$
$\sqrt{500}$

Answer 1

boa tarde !!!!

$\sqrt[10]{7 {}^{8} } = \sqrt[5]{7 {}^{4} } = \sqrt[5]{2401} \\ \\ \sqrt[3]{384} = \sqrt[3]{4 {}^{3} \times 6} = \sqrt[3]{4 {}^{} } \sqrt[3]{6} = 4 \sqrt[3]{6} \\ \\ \sqrt{500} = \sqrt{10 {}^{2} \times 5 } = \sqrt{10 {}^{2} } \sqrt{5} = 10 \sqrt{5}$

espero que eu tenha conseguido te ajudar..

Answer 2

$\sqrt[10]{ {7}^{8} } = \sqrt[10 \div 2]{ {7}^{8 \div 2} } = \sqrt[5]{ {7}^{4} }=$
$\sqrt[3]{384 } = \sqrt[3]{ {2}^{3} } \times {2}^{3} \times 6 = \\ 2 \times 2 \times {3}^{6} = 4 \sqrt[3]{6}$
$\sqrt{500} = \sqrt{10^{2} } \times 5 = \sqrt{ {10}^{2} } \sqrt{5} = \\ 10 \sqrt{5}$