Easy, won't you say?

Geometry Level 4

The value of

\(cot (7.5°) + 4 cos (36°)\),

is expressible in the form,

\(\sqrt{a} + \sqrt{b} + \sqrt{c} + \sqrt{d} + \sqrt{e}\), where the variables are all positive integers.

Then what is the value of \(a+b+c+d+e\) ?

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