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the index in a radical equation appears above and left of the root symbol and tells you what kind of root the radicand is.
A radical symbol indicates taking a root. A radical symbol alone indicates a square root (or equivalently, raising to the 1/2 power). If there is a small superscript number just to the left of the radical, then that indicates which root to take (square root for 2, cube root for 3, forth root for 4, fifth root for five, etc). This means raising to the 1/x power, where x is the small superscript number to the left of the radical.
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
radical 30