Denominators are all clumped up!

Algebra Level 2

Find the value of this expression: \[\dfrac{1}{\sqrt{11-2\sqrt{30}}}-\dfrac{3}{\sqrt{7-2\sqrt{10}}}-\dfrac{4}{\sqrt{8-4\sqrt{3}}}\]


This question has been taken from NTSE 2014 Stage II.
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