Square roots answer "what times itself gives this?" — the nth root generalizes the question to "what times itself n times gives this?" The cube root of 27 is 3, the fourth root of 81 is 3, the tenth root of 1,024 is 2. One notation, x^(1/n), covers the whole family, and the two inputs — the radicand and the index n — control everything: which number you're unwrapping and how many times it was multiplied by itself. Finance uses high-order roots for multi-year growth rates, computer science uses them for binary scaling, and geometry uses them whenever dimensions climb past three.

The sign rules are the part worth memorizing. Odd indexes (3rd, 5th, 7th) accept negative radicands and return negative answers — ∛(−27) = −3. Even indexes (4th, 6th, 8th) require non-negative radicands in the real numbers, the way square roots do. And every root has a built-in verification: raise the answer to the nth power and you must land back on the radicand. This calculator takes your two inputs — the value under the radical and the root index — and returns the root, so you can explore the family: fix the radicand at 64 and walk n from 2 to 6 (8, 4, ~2.83, ~2.52, 2) and watch the answers shrink toward 1 as the index grows.

With the pre-filled defaults — Variable A 10, Variable B 5 — the Nth Root Calculator returns Result 50.0000. Change any input and those results update instantly, so you can see exactly how each number you enter moves the answer.