Cubes and Cube Roots

Cube:

The cube of a number a is denoted by a³ and it is nothing but the product of a for 3 rimes.

So, a³ = a x a x a

Example:

2³ = 2x2x2 = 8

5³ = 5x5x5 = 125

Note:

(1)    If a³ =b then the unit digit of all numbers ending with a is b.

(2)    The sum of n natural odd numbers is n³.

(3)    If a given number is a perfect cube, then its prime factors will always occur in groups of three.

Cube root:

Cube root is the other way of cube. a is called the cube root of b if a³ =b.

i.e. if 3³ =27 then 3 is called cube root of 27.

So, the cube root of a number is a number which when cubed gives the original number. The cube root is denoted by the symbol .

Example:

The cube root of a number can be found using estimating or prime factorization method.

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