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\frac{16\sqrt{2}}{\left(\sqrt{2}\right)^{2}}+3\sqrt{2}
Rationalize the denominator of \frac{16}{\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{16\sqrt{2}}{2}+3\sqrt{2}
The square of \sqrt{2} is 2.
8\sqrt{2}+3\sqrt{2}
Divide 16\sqrt{2} by 2 to get 8\sqrt{2}.
11\sqrt{2}
Combine 8\sqrt{2} and 3\sqrt{2} to get 11\sqrt{2}.