Cube Root Calculator

CUBE ROOT CALCULATOR

You can use this calculator to find the cube root of positive or negative numbers. Given a number n, the cube root of n is a number a such that a3 = n. Cube roots is a specialized form of our common roots calculator also know as a radicals calculator.

EXAMPLE CUBE ROOTS:

• The 3rd root of 64, or 64 radical 3, or the cube root of 64 is written as3√ 64  = 4.
• The 3rd root of -64, or -64 radical 3, or the cube root of -64 is written as 3√-64  = -4.
• The cube root of 8 is written as 3√ 8  = 2
• The cube root of 10 is written as 3√ 10  = 2.154435

The cube root of n is the same as n raised to the 1/3 power. Written as 3√ n  as n1/3.  The common definition of the cube root of a negative number is that
(-n)1/3 = -(n1/3).[1] For example:

• The cube root of -27 is written as 3√-27  = -3.
• The cube root of -8 is written as 3√-8  = -2.
• The cube root of -64 is written as 3√-64  = -4.

Cube roots (for integer results 1 through 10)

• Cube root of 1 is 1
• Cube root of 8 is 2
• Cube root of 27 is 3
• Cube root of 64 is 4
• Cube root of 125 is 5
• Cube root of 216 is 6
• Cube root of 343 is 7
• Cube root of 512 is 8
• Cube root of 729 is 9
• Cube root of 1000 is 10

To calculate fractional exponents use our Fractional Exponents Calculator.

REFERENCES

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

Additional reading on cube roots:

http://www.mathsisfun.com/numbers/cube-root.html


To use this calculator go to: Cube Root Calculator