[tex]\displaystyle\bf\\a)~~\sqrt{\frac{98^{(2}}{200}}=\sqrt{\frac{49}{100}}=\frac{\sqrt{49}}{\sqrt{100}}=\frac{7}{10}\\\\\\b)~~\sqrt{\frac{~~216^{(8}}{200}}=\sqrt{\frac{27}{25}}=\frac{\sqrt{27}}{\sqrt{25}}=\frac{\sqrt{9\times3}}{\sqrt{25}}=\frac{3\sqrt{3}}{5}\\\\\\c)~~\sqrt{\frac{225}{196}}=\frac{\sqrt{225}}{\sqrt{196}}=\frac{15}{14}\\\\\\d)~~\sqrt{\frac{144}{720}}=\frac{\sqrt{144}}{\sqrt{720}}=\frac{\sqrt{144}}{\sqrt{144\times5}}=\frac{12}{12\sqrt{5}}=\frac{12\sqrt{5}}{12\times5}=\frac{\sqrt{5}}{5}[/tex]
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[tex]\displaystyle\bf\\e)~~\sqrt{\frac{588}{686}}=\frac{\sqrt{588}}{\sqrt{686}}=\frac{\sqrt{196\times3}}{\sqrt{49\times14}}=\frac{14\sqrt{3}\sqrt{14}}{7\times14}=\frac{\sqrt{42}}{7}\\\\\\f)~~\sqrt{\frac{~~675^{(9}}{648}}=\frac{\sqrt{75}}{\sqrt{72}}=\frac{\sqrt{25\times3}}{\sqrt{36\times2}}=\frac{5\sqrt{3}}{6\sqrt{2}}=\frac{5\sqrt{3}\sqrt{2}}{6\times2}=\frac{5\sqrt{6}}{12}[/tex]
