Root Calculator – Square Root, Cube Root & n-th Root

Enter a number and the degree of the root to find the n-th root ⁿ√x – the number that, raised to the power n, gives x. Odd roots of negative numbers are calculated too (∛−27 = −3). The square and cube root are shown for comparison.

Formula

ⁿ√x = x^(1/n)
√x = x^(1/2),   ∛x = x^(1/3)

Calculations run locally in your browser. Results are for information only — for engineering, electrical or financial decisions, verify the assumptions and applicable standards.

Number (x): 144 · Degree of the root (n): 2 → n-th root ⁿ√x: 12
Number (x): 125 · Degree of the root (n): 3 → n-th root ⁿ√x: 5
Number (x): -27 · Degree of the root (n): 3 → n-th root ⁿ√x: -3
Number (x): 1024 · Degree of the root (n): 10 → n-th root ⁿ√x: 2

What is the n-th root of a number?

The n-th root of x is the number that gives x when raised to the power n. The square root of 49 is 7 because 7² = 49, and the cube root of 125 is 5 because 5³ = 125.

Can you take the root of a negative number?

Odd roots of negative numbers are real: ∛−8 = −2. Even roots (square root, fourth root …) of negative numbers have no real result, so the calculator shows an error.