Example
Ex 1:
What is the least natural number by which 5400 should be multiplied so that the product is a perfect cube ?
Sol:
| Prime factorization of 5400 = 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 |
| Here 5 does not appear in a group of 3 |
| If we multiply by 5, 5400 becomes a perfect cube. |
Ex 2:
The cube of
is
Sol:
 =
 |
Ex 3:
If p = 2, q = 3 then the value of
Sol:
