Simplify √n by extracting the largest perfect-square factor: √n = a√b.
To simplify a radical, find the prime factorization of the number under the radical. For each prime factor, extract groups of size equal to the root index. For example, √72 = √(36·2) = 6√2, because 72 = 2³·3² and we extract one pair of 3s and one pair of 2s.
Radical simplification
ⁿ√(a^n · b) = a · ⁿ√b
A perfect square factor is a factor of the radicand that is itself a perfect square (like 4, 9, 16, 25...). Extracting it simplifies the radical.
Yes — set the root index to 3. For cube roots, it extracts perfect cube factors.