Will you square? Part 3

Algebra Level 3

If \( \sqrt { 2 } +\sqrt { 5 } \) is written in the form \(\frac { a }{ \sqrt { b-\sqrt { c } } }, \) where \(a,b,c\) are positive integers and \(b\) is not divisible by the square of any prime, what is the value of \(a+b+c?\)

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