Question

Me ajudem por favor e façam os calculos​

Answer 1

Resposta:

A)

$\sqrt[3]{3 . {11}^{2} } = \\ \sqrt{3 \: \: } . \: \: \sqrt{ {11}^{2} } = \\ 11 \sqrt{3}$

B)

$\sqrt[6]{ {2}^{6}.7 } = \\ \sqrt[6]{ {2}^{6} } . \sqrt[6]{7} = \\ 2 \sqrt[6]{7}$

C)

$\sqrt[5]{ {2}^{5}.3. {5}^{5} } = \\ \sqrt[5]{ {2}^{5} } . \sqrt[5]{3} . \sqrt[5]{ {5}^{5} } = \\ 2.5. \sqrt[5]{3 } = \\ 10 \sqrt[5]{3}$

D)

$\sqrt{ {6}^{3} } = \\ \sqrt{ {6}^{2 + 1} } = \\ \sqrt{ {6}^{2} . {6}^{1} } = \\ \sqrt{ {6}^{2}.6 } = \\ \sqrt{ {6}^{2} } . \sqrt{6 } = \\ 6 \sqrt{6}$

E)

$\sqrt{ {2}^{7} } \\ \sqrt{ {2}^{6 + 1} } \\ \sqrt{ {2}^{6} } . \sqrt{2 } \\ {2}^{3} \sqrt{2 } = \\ 8 \sqrt{2}$

F)

$\sqrt[3]{ {5}^{3}. {7}^{4} } = \\ \sqrt[3]{ {5}^{3} } . \sqrt[3]{ {7}^{4} } = \\ 5. \sqrt[3]{2401} = \\ 5. \sqrt[3]{ {7}^{3}.7 } = \\ 5. \sqrt[3]{ {7}^{3} } . \sqrt[3]{7} = \\ 5.7. \sqrt[3]{7} = \\ 35 \sqrt[3]{7}$