Question

Subtração de Raízes:

a) $\sqrt{8} - \sqrt{18}$

b) $^{3} \sqrt{54} - ^{3}\sqrt{16}$

Answer 1

a) $\sqrt{2.2.2} - \sqrt{2.3.3} --\ \textgreater \ \sqrt{2^2.2}- \sqrt{3^2.2} \\ \\ 2\sqrt{2} -3 \sqrt{2} =- \sqrt{2}$

b)$\sqrt[3]{2.3.3.3}- \sqrt[3]{2.2.2.2} --\ \textgreater \ \sqrt[3]{3^3.2} - \sqrt[3]{2^3.2} \\ \\ 3 \sqrt[3]{2} -2 \sqrt[3]{2} = \sqrt[3]{2}$