Problem

(d) $\quad$ Expand $\sqrt{2}(5+\sqrt{8})$

Answer

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Answer

\(\boxed{5\sqrt{2} + 4}\)

Steps

Step 1 :\(\sqrt{2}(5+\sqrt{8}) = \sqrt{2} \times 5 + \sqrt{2} \times \sqrt{8}\)

Step 2 :\(= 5\sqrt{2} + \sqrt{16}\)

Step 3 :\(= 5\sqrt{2} + 4\)

Step 4 :\(\boxed{5\sqrt{2} + 4}\)

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