Ugly expression?

Algebra Level 4

\[\sqrt{\frac{\left(5-2 \sqrt{5}\right) \left(17-\sqrt{17}\right)}{\left(5+2 \sqrt{5}\right) \left(17+\sqrt{17}\right)}}+\sqrt{\frac{\left(5-2 \sqrt{5}\right) \left(85-2 \sqrt{85}\right)}{\left(5+2 \sqrt{5}\right) \left(85+2 \sqrt{85}\right)}}+\sqrt{\frac{\left(17-\sqrt{17}\right) \left(85-2 \sqrt{85}\right)}{\left(17+\sqrt{17}\right) \left(85+2 \sqrt{85}\right)}}\]

Evaluate the expression above, give your answer to 3 decimal places.

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