Question

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Answer 1

Answer 2

\(\dfrac{5}{\sqrt{10}}=\dfrac{5\sqrt{10}}{10}=\dfrac{\sqrt{10}}{2}\)

\(\dfrac{5}{2\sqrt{5}}=\dfrac{\left(\sqrt{5}\right)^2}{2\sqrt{5}}=\dfrac{\sqrt{5}}{2}\)

 

\(\dfrac{1}{3\sqrt{20}}=\dfrac{\sqrt{20}}{3.20}=\dfrac{\sqrt{20}}{60}=\dfrac{2\sqrt{5}}{2.30}=\dfrac{\sqrt{5}}{30}\)

 

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

 

\(\dfrac{y+b\sqrt{y}}{b\sqrt{y}}=\dfrac{\sqrt{y}\left(\sqrt{y}+b\right)}{\sqrt{y}.b}=\dfrac{\sqrt{y}+b}{b}\)