Intermediate Algebra
If nn is odd, every real radicand has exactly one real nnth root; if nn is even, a positive radicand has two real roots (±\(\pm\)), and a negative radicand has no real roots
Every radical expression yields two real roots, regardless of the index, unless the radicand is zero
Only square roots depend on parity; higher-order roots like x4\(\sqrt\)[4]{x} or x5\(\sqrt\)[5]{x} always have exactly one real root
If nn is even, there is always exactly one real root; if nn is odd, there are always two real roots