 # Cubes and Cube Roots

## Cube is a three dimensional figure bound by six square faces. When a number is multiplied by itself three times, it is known as cube number. For example a3 = a x a x a Cube root is the inverse operation of cube and it is denoted by the symbol 3√. If each factor appears three times in the prime factorisation of any number, it is a perfect cube. A number ‘n’ is a perfect cube, if n = m3, where m is an integer. There are only ten perfect cubes from 1 to 1000. Cubes of even numbers are always even numbers and cubes of odd numbers are always odd numbers. Operation opposite to that of cube is known as cube root. Hardy – Ramanujan number is the number that can be expressed as a sum of two cubes in different ways. 1729, 4104, 13832 are known as Hardy – Ramanujan number. The set of positive numbers is called natural numbers. N = { 1, 2, 3…} The set of natural numbers along with zero is called the set of whole numbers. W = {0, 1, 2, 3…} The set of positive and negative numbers is called integers. I or Z = {-3, -2, -1, 0, 1, 2, 3…}

To Access the full content, Please Purchase