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They can do. But they can also show wholes plus a part. For example, 41/2 or 4.5 represent four wholes and one part out of two of another.
Example: Algebra will show you how quickly the gallon will fill over time. Calculus will show you how quickly the gallon will fill over time while it is also being slowly drained.
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The square root symbol is Unicode 0x221A. To show it, you either need to draw it graphically, or you need to have a Unicode representation library.