Inspired by Ashish Siva

Algebra Level 4

If \(\sqrt{3+\sqrt{3}+\sqrt{6}+\sqrt{2}} \) can be expressed in the form of \(\sqrt{\dfrac{a}{b}}+\sqrt{\dfrac{c}{d}}+e\) than find out the value of \(a+b+c+d+e\), where \(a\) and \(b\), and \(c\) and \(d\) are coprimes.

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