Question

como efetuar as multiplicações

Answer 1

a)
$\sqrt{2} \times \sqrt{18} = \sqrt{36} = 6$
b)
$\sqrt[3]{3} \times \sqrt[3]{9} = \sqrt[3]{3 \times 9} = \sqrt[3]{27} \\ = \sqrt[3]{ {3}^{3} } = {3}^{ \frac{3}{3} } = {3}^{1} = 3$
c)
$\sqrt[4]{ {2}^{3} } \times \ \sqrt[3]{2} = {2}^{ \frac{3}{4} } \times {2}^{ \frac{1}{3} } = {2}^{ \frac{13}{12} }$
d)
$\sqrt[4]{ {3}^{3} } \times \sqrt[5]{ {3}^{4} } \times \sqrt[10]{ {3}^{7} } \\ = {3}^{ \frac{3}{4} } \times {3}^{ \frac{4}{5} } \times {3}^{ \frac{7}{10} } = {3}^{ \frac{9}{4} }$