Nth Root Calculator

Calculate any root of a number - square root, cube root, or any nth root.

Enter Values

3

Expression

327 = 27^(1/3)

Cube Root of 27

3.0000000000

Perfect cube!

Common Roots of 27

Square Root (√)5.19615242
Cube Root (³√)3.00000000
Fourth Root (⁴√)2.27950706

Verification

(3.000000)^3 =

27.000000 = 27 (verified)

Nth Root Formula

Definition

ⁿ√x = x^(1/n)

The nth root of x is the number that, when raised to the power n, gives x.

Properties

ⁿ√(a * b) = ⁿ√a * ⁿ√b

ⁿ√(a / b) = ⁿ√a / ⁿ√b

ⁿ√(aᵐ) = a^(m/n)