Question

Answer 1

a: \(=\dfrac{\sqrt{7}}{10}\)

b: \(=\dfrac{2}{\sqrt{5}}=\dfrac{2\sqrt{5}}{5}\)

c: \(=\sqrt{\dfrac{3}{36}}=\dfrac{\sqrt{3}}{6}\)

d: \(=\sqrt{\dfrac{15}{100}}=\dfrac{\sqrt{15}}{10}\)

Answer 2

a) \(\sqrt{\dfrac{7}{100}}=\dfrac{\sqrt{7}}{10}\)

b) \(\sqrt{\dfrac{4}{5}}=\dfrac{2}{\sqrt{5}}=\dfrac{2\sqrt{5}}{\sqrt{5}\sqrt{5}}=\dfrac{2\sqrt{5}}{5}\)

c) \(\sqrt{\dfrac{1}{12}}=\sqrt{\dfrac{3}{36}}=\dfrac{\sqrt{3}}{6}\)

d) \(\sqrt{\dfrac{3}{20}}=\sqrt{\dfrac{15}{100}}=\dfrac{\sqrt{15}}{10}\)

e) \(\sqrt{\dfrac{1}{20}}=\sqrt{\dfrac{5}{100}}=\dfrac{\sqrt{5}}{10}\)

f) \(\sqrt{\dfrac{1}{60}}=\sqrt{\dfrac{15}{900}}=\dfrac{\sqrt{15}}{30}\)