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\frac{43\sqrt{2}}{8\left(\sqrt{2}\right)^{2}}
Rationalize the denominator of \frac{43}{8\sqrt{2}} by multiplying numerator and denominator by \sqrt{2}.
\frac{43\sqrt{2}}{8\times 2}
The square of \sqrt{2} is 2.
\frac{43\sqrt{2}}{16}
Multiply 8 and 2 to get 16.