Jawaban:
[tex]\frac{2}{5 \sqrt{3} } - \sqrt{5} = (\frac{2}{5 \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} }) - \sqrt{5} = (\frac{2 \sqrt{3} }{5 - 3}) - \sqrt{5} = (\frac{2 \sqrt{3} }{2}) - \sqrt{5} = (\frac{1 \sqrt{3} }{1}) - \sqrt{5} = (1 \sqrt{3}) - \sqrt{5} = \sqrt{3} - \sqrt{5} = - \sqrt{2} [/tex]
semoga membantu (:
[tex]\frac{2}{5 \sqrt{3} - \sqrt{5}} = \frac{2}{5 \sqrt{3} - \sqrt{5}} \times \frac{5 \sqrt{3} + \sqrt{5}}{5 \sqrt{3} + \sqrt{5}} = \frac{(2)(5 \sqrt{3} + \sqrt{5})}{(5 \sqrt{3} - \sqrt{5})(5 \sqrt{3} + \sqrt{5})} [/tex]
[tex]= \frac{10 \sqrt{3} + 2 \sqrt{5}}{25 \sqrt{9} + 5 \sqrt{15} - 5 \sqrt{15} - \sqrt{25}} [/tex]
[tex]= \frac{10 \sqrt{3} + 2 \sqrt{5}}{25 \sqrt{9} - \sqrt{25}} [/tex]
[tex]= \frac{10 \sqrt{3} + 2 \sqrt{5}}{25 \times 3 - 5} = \frac{10 \sqrt{3} + 2 \sqrt{5}}{75 - 5} = \frac{10 \sqrt{3} + 2 \sqrt{5}}{70} = \frac{5 \sqrt{3} + \sqrt{5}}{35} [/tex]
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