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The Brainliest Answer!
 \frac{2}{ \sqrt{3}- \sqrt{5}  } can be written as :-
 \frac{2*( \sqrt{3}+ \sqrt{5})  }{( \sqrt{3}- \sqrt{5}  )( \sqrt{3}+ \sqrt{5}  )}
It can be written further as  \frac{2*( \sqrt{3}- \sqrt{5}  )}{3-5} ...using identity  a^{2}- b^{2} = (a+b)(a-b)
 \frac{2*(  \sqrt{3}+ \sqrt{5}  )}{-2}
-( \sqrt{3}+ \sqrt{5} )
2 5 2
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