More Small Circles

Geometry Level 4

ABCD is a square.

Circle T is inscribed in the square. Radius of circle T is R.

Circle S is tangent to the square and the circle T. Radius of circle S is r.

Circle X is tangent to the circle T, circle S and the square. Radius of circle X is x.

The fraction x/R can be written as a+b√c.

a+b+c as a fraction in the simplest form is m/n.

How much m+n is?


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