1.
[tex]\sqrt{64} = \sqrt{8^{2}} = 8\\\\\sqrt{\frac{9}{144}} =\sqrt{\frac{1}{16}}=\frac{\sqrt{1}}{\sqrt{16}}=\frac{1}{4}}\\\\\sqrt{0,0064}=\sqrt{0,08^{2}} = 0,08\\\\\sqrt{2\frac{1}{4}} = \sqrt{\frac{9}{4}} = \frac{\sqrt{9}}{\sqrt{4}} = \frac{3}{2}=1\frac{1}{2}\\\\\sqrt[3]{-27} = \sqrt[3]{(-3)^{3}} =-3[/tex]
[tex]\sqrt[3]{125}=\sqrt[3]{5^{3}} = 5\\\\\sqrt[3]{-4\frac{17}{27}} = \sqrt[3]{-\frac{125}{27}} = -\frac{5}{3} = -1\frac{2}{3}[/tex]
2.
[tex]\sqrt{8}\cdot\sqrt{18} = \sqrt{8\cdot18}=\sqrt{144} = \sqrt{12^{2}} = 12\\\\\sqrt{112}:\sqrt{7} = \sqrt{112:7} = \sqrt{16} = 4\\\\\sqrt[3]{4}\cdot\sqrt[3]{-16} = \sqrt[3]{4\cdot(-16)} = \sqrt[3]{-64} = \sqrt[3]{(-4)^{3}} = -4[/tex]
