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$$\sqrt{10 + 2\sqrt{6} - 2\sqrt{10} - 2\sqrt{15}} =$$
$$\sqrt{2} - \sqrt{3} + \sqrt{5}$$
$$\sqrt{2} + \sqrt{3} + \sqrt{5}$$
$$\sqrt{2} + \sqrt{3} - \sqrt{5}$$
$$\sqrt{3} - \sqrt{2} + \sqrt{5}$$
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