7.
[tex]a)\sqrt{12} = \sqrt{3*4}=2\sqrt{3}\\
b)\sqrt{28}=\sqrt{7*4}=2\sqrt{7}\\
c)\sqrt{80}=\sqrt{16*5}=4\sqrt{5}\\
d)\sqrt{125}=\sqrt{25*5}=5\sqrt{5}\\
e)\sqrt[3]{32}= \sqrt[3]{8*4}=2\sqrt[3]{4}\\
f)\sqrt[3]{54}=\sqrt[3]{27*2}=3\sqrt[3]{2}\\
g)\sqrt[3]{-16}\sqrt[3]{-8*2}=-2\sqrt[3]{2}\\
h)\sqrt[3]{-128}=\sqrt[3]{-64*2}=-8\sqrt[3]{2}[/tex]
8.
[tex]a)3\sqrt{2}=\sqrt{9*2}=\sqrt{18} \\
b)4\sqrt{3}=\sqrt{16*3}=\sqrt{48}\\
c)6\sqrt{\frac{5}{6} }=\sqrt{36*\frac{5}{6} }=\sqrt{30}\\
d)0,1\sqrt{2000}=\sqrt{0,01*2000}= \sqrt{20}\\
e)2\sqrt[3]{5}= \sqrt[3]{8*5}=\sqrt[3]{40}\\
f)3\sqrt[3]{10}=\sqrt[3]{27*10}=\sqrt[3]{270}[/tex]
