\(\sqrt{\dfrac{49}{100}}=\dfrac{7}{10}\\ \sqrt{\dfrac{144}{289}}=\dfrac{12}{17}\\ \dfrac{\sqrt{36}}{\sqrt{225}}=\dfrac{6}{15}=\dfrac{2}{5}\\ \dfrac{\sqrt{25}}{\sqrt{121}}=\dfrac{5}{11}\)
`\sqrt{49/100}=\sqrt{(7/10)^2}=7/10`
`\sqrt{144/289}=\sqrt{(12/17)^2}=12/17`
`\sqrt{36/225}=\sqrt{(6/15)^2}=6/15`
`\sqrt{25/121}=\sqrt{(5/11)^2}=5/11`