Question

como simplificar os radicais ³√108? e √224?

Answer 1

$\sqrt[3]{108} \\ \sqrt[3]{ {3}^{3} \times 4 } \\ \sqrt[3]{ {3}^{3} } \sqrt[3]{4} \\ 3 \sqrt[3]{4}$


$\sqrt{224} \\ \sqrt{ {4}^{2} \times 14} \\ \sqrt{ {4}^{2} } \sqrt{14} \\ 4 \sqrt{14}$

Answer 2

a)
$\sqrt[3]{108} = \\ \\ \sqrt[3]{3^{3} .4} = \\ \\ \sqrt[3]{3^{3} } \sqrt[3]{4} = \\ \\ 3 \sqrt[3]{4}$



108--3
36----3
12----3
4-----4
1-------------->fatorei

b)
$\sqrt{224} = \sqrt{4 ^{2}.14 } = \\ \\ \sqrt{4}^{2} \sqrt{14} = \\ \\ 4 \sqrt{14}$



224--2
112----2
56----2
28----2
14------2
7--------7
1------------>fatorado

espero ter ajudado. ; )