8/√3 is simplified if we multiply the top and bottom by √3. This gives us:
8√(3)/√9 = 8√(3)/3
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2 over 3
2/3
2n/3
3/2 is already in simplest form since 3 and 2 have no common factors other than 1.
(sqrt(3)x-sqrt(3)y)(sqrt(3)x+sqrt(3)y)