[tex]1. \\\\\sqrt2(\sqrt{18}+\sqrt{50})=\sqrt{36}+\sqrt{100}=6+10=16\\\\2. \\\\\sqrt{8100}=\sqrt{81*100}=9*10=90\\\\3. \\\\\sqrt[3]{729}=\sqrt[3]{3*3*3*3*3*3}=3*3=9\\\\4. \\\\\sqrt5*\sqrt{125}=\sqrt{5*125}=\sqrt{5*5*25}=\sqrt{25*25}=25\\\\5. \\\\\sqrt{3\frac1{16}}=\sqrt{\frac{49}{16}}=\frac74=1\frac34=1.75\\\\6. \\\\\sqrt4*9=2*9=18\\\sqrt{4*9}=2*3=6\\\\7. \\\\\sqrt{120}:\sqrt{30}=\sqrt{120:30}=\sqrt4=2\\\\8. \\\\\sqrt[3]{162}=\sqrt[3]{6*27}=3\sqrt[3]6[/tex]
