Root
The nth root of x:
Root(x, n)the nth root Details
- The nth root:
. See Sqrt for the special case . - Odd roots of a negative number stay real:
. Even roots of a negative number canonicalize toward Sqrt instead, and evaluate exactly only when the radicand is itself a perfect power. - A negative index gives the reciprocal root:
. - Both arguments are required -- unlike Sqrt, there's no default index.
- Evaluates exactly only when x is a perfect nth power; otherwise it stays in symbolic form, like
.