Cube Root Calculator

| Share
Cube Roots Calculator
radical 3 sign
Answer:
 

Cube Root Calculator

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 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 cube root of 8 is written as 3 = 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

 

Cite this content, page or calculator as:

Furey, Edward "Cube Root Calculator" From http://www.CalculatorSoup.com - Online Calculator Resource.