Question

Simplifique os seguintes radicais

a) √48
b) ³√72
c) ³√162
d) Raiz 4ª de 208
 
Vlw ;)

Answer 1

$a) \sqrt{48} = \sqrt{16\cdot3} = \sqrt{16} \cdot \sqrt{3} =4\sqrt{3} \\ \\ b) \sqrt[3]{72} = \sqrt[3]{8\cdot9} = \sqrt[3]{8} \cdot \sqrt[3]{9} =2\sqrt[3]{9} \\ \\ c) \sqrt[3]{162} = \sqrt[3]{27\cdot6} = \sqrt[3]{27} \cdot \sqrt[3]{6} =3\sqrt[3]{6} \\ \\ d) \sqrt[4]{208} = \sqrt[4]{16\cdot13} = \sqrt[4]{16} \cdot \sqrt[4]{13} =2\sqrt[4]{13}$