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Yes, you could.

Use the reciprocal property of division on the first one:
240( \frac{4}{\sqrt{6}- \sqrt{2}})( \frac{ \sqrt{2} }{2})

Multiply by 240:
( \frac{960}{ \sqrt{6}- \sqrt{2}  }) ( \frac{ \sqrt{2} }{2})

 \frac{480 \sqrt{2} }{\sqrt{6}- \sqrt{2}}

\frac{480 \sqrt{2} }{\sqrt{6}- \sqrt{2}}* \frac{\sqrt{6}+\sqrt{2}}{\sqrt{6}+\sqrt{2}}

\frac{480 \sqrt{2}( \sqrt{6} )+480 \sqrt{2}( \sqrt{2} )  }{(\sqrt{6})^2 - (\sqrt{2})^2}

\frac{480 \sqrt{12} +480 (2) }{6-2}

Simplifying further:
 \frac{960 \sqrt{3}+960 }{2}

Simplifying further x2 (lol):
480 \sqrt{3}+480

480( \sqrt{3}+1)

Hope that helps.

If you're still having problems, don't hesitate to message me.
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Oh, I saw an error at the part "Simplifying further". The denominator is supposed to be 4. Please put the necessary corrections to get the right final answer.
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