Ta có :

• $\sqrt{\frac{1}{600}}=\sqrt{\frac{6}{600.6}}=\sqrt{\frac{6}{60^{2}}}=\frac{\sqrt{6}}{60}$
• $\sqrt{\frac{11}{540}}=\sqrt{\frac{11.15}{540.15}}=\sqrt{\frac{165}{90^{2}}}=\frac{\sqrt{165}}{90}$
• $\sqrt{\frac{3}{50}}=\sqrt{\frac{3.2}{50.2}}=\sqrt{\frac{6}{10^{2}}}=\frac{\sqrt{6}}{10}$
• $\sqrt{\frac{5}{98}}=\sqrt{\frac{5.2}{98.2}}=\sqrt{\frac{10}{14^{2}}}=\frac{\sqrt{10}}{14}$
• $\sqrt{\frac{(1-\sqrt{3})^{2}}{27}}=\sqrt{\frac{3(1-\sqrt{3})^{2}}{3.27}}=\sqrt{3\frac{(1-\sqrt{3})^{2}}{9^{2}}}=\frac{\left | 1- \sqrt{3}\right |\sqrt{3}}{9}=\frac{(\sqrt{3}-1)\sqrt{3}}{9}$