(√5 - √2)^2 - (√2 + √3)^2
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![({ \sqrt{5} })^{2} + ({ \sqrt{2} })^{2} - 2 \sqrt{10} - ({ \sqrt{2} })^{2} - ({ \sqrt{3} })^{2} - 2 \sqrt{6} \\ = 5 + 2 - 2 - 3 - 2 \sqrt{10} - 2\sqrt{6} \\ 5 - 2 \sqrt{10} - 2 \sqrt{6} ({ \sqrt{5} })^{2} + ({ \sqrt{2} })^{2} - 2 \sqrt{10} - ({ \sqrt{2} })^{2} - ({ \sqrt{3} })^{2} - 2 \sqrt{6} \\ = 5 + 2 - 2 - 3 - 2 \sqrt{10} - 2\sqrt{6} \\ 5 - 2 \sqrt{10} - 2 \sqrt{6}](https://tex.z-dn.net/?f=+%28%7B+%5Csqrt%7B5%7D+%7D%29%5E%7B2%7D+++%2B++%28%7B+%5Csqrt%7B2%7D+%7D%29%5E%7B2%7D++-+2+%5Csqrt%7B10%7D+-++%28%7B+%5Csqrt%7B2%7D+%7D%29%5E%7B2%7D+-++%28%7B+%5Csqrt%7B3%7D+%7D%29%5E%7B2%7D++-+2+%5Csqrt%7B6%7D++%5C%5C++%3D+5+%2B+2+-+2+-+3+-+2+%5Csqrt%7B10%7D++-++2%5Csqrt%7B6%7D++++%5C%5C+5+-+2+%5Csqrt%7B10%7D+-+2+%5Csqrt%7B6%7D)
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