The properties of radicals allow expressions with radicals to be rewritten.
To simplify an root, it is necessary that the radicand can be expressed as a power. If the index of the radical and the power of the radicand are equal, the radical expression can be simplified as follows.
To write the expression for there are two cases to consider.
Both cases will be considered one at a time.
In case of negative a, there are also two cases two consider.
If a is non-negative, is always equal to a. However, in case of negative a, the value of depends on the parity of n.
To conclude, for odd n, the expression is equal to a. On the other hand, if n is even, can be written as ∣a∣.