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Cube Roots Calculator

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Notes on finding cube roots:

This calculator will find the cube root of a number. Cube roots is a specialized form of our common roots calculator also know as a radicals calculator.

Examples:

• The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as 3 √64 = 4.
• The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as 3 √-64 = -4.
• The 3rd root of 8, or 8 radical 3, or the cube root of 8 is written as 3 √8 = 2
• The 3rd root of 10, or 10 radical 3, or the cube root of 10 is written as 3 √10 = 2.154435

The cube root of x is the same as x raised to the 1/3 power or, 3 √x is the same as (x)^(1/3), and the common definition of the cube root of a negative number is that (-x)^(1/3) = -(x^(1/3)).[1] For example:

• The 3rd root of -27, or -27 radical 3, or the cube root of -27 is written as 3 √-27 = -3.
• The 3rd root of -8, or -8 radical 3, or the cube root of -8 is written as 3 √-8 = -2
• The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as 3 √-64 = -4.

To calculate fractional exponents use our Fractional Exponents Calculator.

[1] Weisstein, Eric W. "Square Root." From MathWorld -- A Wolfram Web Resource. http://mathworld.wolfram.com/CubeRoot.html