CUBE Root of any Number or Quantity, is such a number or quantity, which, if multiplied into itself, and then again the product thence arising by that number or quantity, being the cube-root, this last product shall be equal to the number or quantity whereof it is the cube-root; as 2 is the cube-root of 8; because two times two is 4, and two times 4 is 8; and a+b is the cube-root of a^3+3a^2b+3ab^2+b^3. See ALGEBRA.