Question

ayuda porfavor si no saben no respondan ​

Answer 1

a)

$2\sqrt{5\ m}\cdot (-3)\sqrt{10\ m^2n} \\\\= 2\sqrt{5\ m}\cdot (-3)m\sqrt{10\ n}\\\\=2\cdot (-3)\cdot m\sqrt{5\ m\cdot 10n}\\\\=-6m\sqrt{50\ mn} \\\\=-6m\sqrt{2\cdot 25\ mn}\\\\=-6m\cdot 5\sqrt{2 mn}\\\\=-30m\sqrt{mn}$

b)

$\sqrt[3]{8a}\cdot \sqrt[3]{2a^4b} \\\\=2\sqrt[3]{a}\cdot \sqrt[3]{2a^3\cdot ab} \\\\=2\sqrt[3]{a}\cdot a\sqrt[3]{2ab} \\\\=2a\sqrt[3]{a\cdot {2ab}} \\\\=2a\sqrt[3]{ {2a^2b}}$

c)

$4x\sqrt{2} \cdot 2x\sqrt{12} \\\\= 8x^2\sqrt{24}\\\\ = 8x^2\sqrt{6\cdot 4 } \\\\ =16x^2\sqrt{6}$