Points P and Q are the two opposite vertices of a cube with an edge length 6. Two balls of radii 1 and 2 are inside of the cube. One of them touches all the three faces of the cube containing P and another touches all the three faces containing Q. Find the distance between the balls' centers.

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step-by-step explanation:

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step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)

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step-by-step explanation: