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\( \sqrt{8} + \frac{4}{\sqrt{2}} \)
\( = \sqrt{4 \cdot 2} + \frac{4}{\sqrt{2}} \cdot \frac{\sqrt{2}}{\sqrt{2}} \)
\( = 2\sqrt{2} + \frac{4\sqrt{2}}{2} \)
\( = 2\sqrt{2} + 2\sqrt{2} \)
\( = 4\sqrt{2} \)
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