Find the minimal distance between any point on the sphere

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How can we find the minimal distance between any point on the sphere whose centre is 2,1,3 and radius is 1 and any point on the sphere centred at -3,2,4 and radius is 4?


is there any formula for finding this minimum distance ?
 
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find the distance between the centres, and subtract the sum of radii of the spheres...
 


thnx aniketp...that was helpful...i got my answer
 


no problem, but i hope you understood WHY this works.
 


well...yes...i have a math exam tomorrow...have to finish a LOT of things
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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