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Four unit spheres are externally tangent to each other and all of them are internally tangent to a larger sphere. The radius of the larger sphere can be expressed as \(\frac{\sqrt{a}}{2} + b\), where a,b are two positive integers. Find a+b.

 Jun 30, 2022
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I get that the radius   = 1 + sqrt (2)

 

 

cool cool cool

 Jun 30, 2022

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