Question

Introduza os elementos no radical

$3 \sqrt{7}$
$2 \sqrt[3]{5}$
$2 \sqrt[4]{3}$
$6 \sqrt{5}$
$4 \sqrt{2}$
$5 \sqrt{3}$
$10 \sqrt{7}$
​

Answer 1

Explicação passo-a-passo:

$3 \sqrt{7} = \sqrt{ {3}^{2} \times 7 } = \sqrt{9 \times 7} = \sqrt{63} \\ 2 \sqrt[3]{5} = \sqrt[3]{ {2}^{3} \times 5 } = \sqrt[3]{8 \times 5} = \sqrt[3]{40} \\ 2 \sqrt[4]{3} = \sqrt[4]{ {2}^{4} \times 3 } = \sqrt[4]{16 \times 3} = \sqrt[4]{48} \\ 6 \sqrt{5} = \sqrt{ {6}^{2} \times 5 } = \sqrt{36 \times 5} = \sqrt{180} \\ 4 \sqrt{2} = \sqrt{ {4}^{2} \times 2 } = \sqrt{16 \times 2} = \sqrt{32} \\ 5 \sqrt{3} = \sqrt{ {5}^{2} \times 3 } = \sqrt{25 \times 3} = \sqrt{75} \\ 10 \sqrt{7} = \sqrt{ {10}^{2} \times 7 } = \sqrt{100 \times 7} = \sqrt{700}$