Question

Answer 1

a: \(=\dfrac{\sqrt{3}\left(\sqrt{5}-\sqrt{2}\right)}{\sqrt{7}\left(\sqrt{5}-\sqrt{2}\right)}=\dfrac{\sqrt{21}}{7}\)

b: \(=\dfrac{\sqrt{5}\left(\sqrt{3}+\sqrt{2}\right)}{2\left(\sqrt{3}+\sqrt{2}\right)}=\dfrac{\sqrt{5}}{2}\)

c: \(=\dfrac{\sqrt{x}\left(\sqrt{x}+\sqrt{y}\right)}{\sqrt{y}\left(\sqrt{x}+\sqrt{y}\right)}=\sqrt{\dfrac{x}{y}}\)

f: \(=\dfrac{\left(\sqrt{2}+\sqrt{3}+2\right)+\left(2+\sqrt{6}+\sqrt{8}\right)}{\sqrt{2}+\sqrt{3}+2}\)

\(=1+\sqrt{2}\)