On the problem that C, a, B, C ∈ n *, C cannot be divisible by the square of prime number under the root sign of a + B. find a + B + C Eight spheres with radius of 100 are placed on a horizontal plane. Each sphere is tangent to two adjacent spheres, and their center is the eight vertices of a regular octagon. Now put the ninth sphere on this horizontal plane, so that it is tangent to the eight placed spheres. Let C, a, B, C ∈ n *, C be not divisible by the square of prime. Find a + B + C

On the problem that C, a, B, C ∈ n *, C cannot be divisible by the square of prime number under the root sign of a + B. find a + B + C Eight spheres with radius of 100 are placed on a horizontal plane. Each sphere is tangent to two adjacent spheres, and their center is the eight vertices of a regular octagon. Now put the ninth sphere on this horizontal plane, so that it is tangent to the eight placed spheres. Let C, a, B, C ∈ n *, C be not divisible by the square of prime. Find a + B + C

It's actually very simple
Under the root sign of a + B, the radius of C is the distance from the centroid of a regular octagon with a side length of 200 to the vertex minus 100,
Anyone who wants to score can count the result. I don't have time now