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$$\begin{lgathered}(7 \sqrt{2} - 5 \sqrt{5} ) - (4 \sqrt{5} - 3 \sqrt{2} ) \\ = 7 \sqrt{2} - 5 \sqrt{5} - 4 \sqrt{5} + 3 \sqrt{2} \\ = 10 \sqrt{2} - 9 \sqrt{5}\end{lgathered}$$
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