Need some tanning

Geometry

tan⁡(63∘)=a−b+c−b \large \tan(63^\circ) = \sqrt{\sqrt a-\sqrt b} + \sqrt{\sqrt c-\sqrt b}

The equation above is true for positive integers a,b,a,b, and c.c. What is the value of a+b+c?a+b+c?

Pi Han Goh by Pi Han Goh
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