A function that has a variable under a radical sign.
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The diagonal of a unit square, for example, is radical(2).
No, you cannot add or subtract under the radical. The radical represents the square root function, and it only operates on the number or expression that is inside the radical. To add or subtract, you need to simplify the expressions inside the radical first.
You need to know the domain in order to find the range.
There is no reasonable radical approximation for radical 11.
Not necessarily. If it is the same radical number, then the signs cancel out. Radical 5 times radical 5 equals 5. But if they are different, then you multiply the numbers and leave them under the radical sign. Example: radical 5 * radical 6 = radical 30