[tex]12 \sqrt{2} - 6 \sqrt{8} + 5 \sqrt{2} \\ 12 \sqrt{2} - 6 \sqrt{4} . \sqrt{2} + 5 \sqrt{2} \\ 12 \sqrt{2} - 6 \times 2 \sqrt{2} + 5 \sqrt{2} \\ 12 \sqrt{2} - 12 \sqrt{2} + 5 \sqrt{2} \\ (12 - 12 + 5) \sqrt{2} \\ 5 \sqrt{2} [/tex]
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[tex]12 \sqrt{2} - 6 \sqrt{8} + 5 \sqrt{2} \\ 12 \sqrt{2} - 6 \sqrt{4} . \sqrt{2} + 5 \sqrt{2} \\ 12 \sqrt{2} - 6 \times 2 \sqrt{2} + 5 \sqrt{2} \\ 12 \sqrt{2} - 12 \sqrt{2} + 5 \sqrt{2} \\ (12 - 12 + 5) \sqrt{2} \\ 5 \sqrt{2} [/tex]