Yes, you could.
Use the reciprocal property of division on the first one:
[tex]240( \frac{4}{\sqrt{6}- \sqrt{2}})( \frac{ \sqrt{2} }{2}) [/tex]
Multiply by 240:
[tex]( \frac{960}{ \sqrt{6}- \sqrt{2} }) ( \frac{ \sqrt{2} }{2}) [/tex]
Simplifying:
[tex] \frac{480 \sqrt{2} }{\sqrt{6}- \sqrt{2}} [/tex]
Rationalizing:
[tex]\frac{480 \sqrt{2} }{\sqrt{6}- \sqrt{2}}* \frac{\sqrt{6}+\sqrt{2}}{\sqrt{6}+\sqrt{2}} [/tex]
Multiplying:
[tex]\frac{480 \sqrt{2}( \sqrt{6} )+480 \sqrt{2}( \sqrt{2} ) }{(\sqrt{6})^2 - (\sqrt{2})^2}[/tex]
Simplifying:
[tex]\frac{480 \sqrt{12} +480 (2) }{6-2}[/tex]
Simplifying further:
[tex] \frac{960 \sqrt{3}+960 }{2} [/tex]
Simplifying further x2 (lol):
[tex]480 \sqrt{3}+480 [/tex]
Factoring:
[tex]480( \sqrt{3}+1) [/tex]
Hope that helps.
If you're still having problems, don't hesitate to message me.
