Denominators are all clumped up!

Algebra Level 3

Find the value of this expression: 1 11 − 2 30 − 3 7 − 2 10 − 4 8 − 4 3 \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.
1 1 − 2 2 -2\sqrt{2} 0 0 30 \sqrt{30}

Rishik Jain by Rishik Jain , 21, India

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