Answer
$\frac{43+43\sqrt 2}{-46}$
Work Step by Step
$\frac{7+4\sqrt 2}{2-5\sqrt 2}$$\times$$\frac{2+5\sqrt 2}{2+5\sqrt 2}$=$\frac{13+8\sqrt 2 +35\sqrt 2 +40}{4-50}$=$\frac{43+43\sqrt 2}{-46}$
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