8 akar 2 per 2 akar 5 ditambah akar 10

[tex] \frac{8 \sqrt{2} }{2 \sqrt{5} + \sqrt{10} } \times \frac{2 \sqrt{5} - \sqrt{10} }{2 \sqrt{5} - \sqrt{10} } \\ = \frac{8 \sqrt{2}(2 \sqrt{5 } - \sqrt{10} ) }{4 \times 5 - 10} \\ = \frac{16 \sqrt{10} - 8\sqrt{20} }{20 - 10} \\ = \frac{16 \sqrt{10} - 16 \sqrt{5} }{10} \\ = \frac{8}{5} ( \sqrt{10} - \sqrt{5} )[/tex]
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