2√5/5-√2 Berapakah Jawabannya???

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[tex] = \frac{2 \sqrt{5} }{5 - \sqrt{2} } \\ = \frac{2 \sqrt{5} }{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{10 \sqrt{5} + 2 \sqrt{10} }{25 - 2} \\ = \frac{10 \sqrt{5} + 2 \sqrt{10} }{23} \\ = \frac{10}{23} \sqrt{5} + \frac{2}{23} \sqrt{10} [/tex]