Question

Efetue as multiplicações:
Como os cálculos

a) ∛5·∛6

b) √2-√8

c) √2·√6·√3

d) √5-(1+√5)

e) ∛4·∛6

d) (3√2-2)·(√2+3)

Answer 1

$\sqrt[3]{5} *\sqrt[3]{6}=\sqrt[3]{5*6}=\sqrt[3]{30} \\ \sqrt{2}-\sqrt{8}=\sqrt{2}-2\sqrt{2}=-\sqrt{2} \\ \sqrt{2}*\sqrt{6}*\sqrt{3}=\sqrt{2*6*3}=\sqrt{36}=6 \\ \sqrt{5}-(1+\sqrt{5})=\sqrt{5}-1-\sqrt{5}=-1 \\ \sqrt[3]{4}*\sqrt[3]{6}=\sqrt[3]{4*6}=\sqrt[3]{24}=2\sqrt[3]{3} \\ (3\sqrt{2}-2)(\sqrt{2}+3)=(3\sqrt{2}*\sqrt{2}-2\sqrt{2}+9\sqrt{2}-6)=3*2+7\sqrt{2}-6=6+7\sqrt{2}-6=7\sqrt{2}$