bentuk sederhana dari [tex] \frac{ \sqrt{10} }{{ \sqrt{2} }(1 - \sqrt{5)} } [/tex] adalah

[tex] \frac{ \sqrt{10} }{ \sqrt{2} (1 - \sqrt{5} )} \\ = \frac{ \sqrt{10} }{ \sqrt{2} - \sqrt{10} } \times \frac{ \sqrt{2 } + \sqrt{10} }{ \sqrt{2} + \sqrt{10} } \\ = \frac{ \sqrt{10} ( \sqrt{2} + \sqrt{10} ) }{2 - 10} \\ = \frac{ \sqrt{20} +10}{ - 8} \\ = \frac{2 \sqrt{5} + 10}{ - 8} \\ = \frac{ \sqrt{5} + 5}{ - 4} [/tex]
semoga membantu......

[tex]\frac{\sqrt{10}}{\sqrt{2}(1-\sqrt{5})} = \frac{\sqrt{5}}{1-\sqrt{5}} = \frac{\sqrt{5}}{1-\sqrt{5}} \times \frac{1+\sqrt{5}}{1+\sqrt{5}} = \frac{\sqrt{5} + 5}{1 - 5} = -\frac{5+\sqrt{5}}{4}[/tex]