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…}

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