Which #3# digit number is both a square and a cube?
One way to approach this is to consider the cubes and see which meet the other conditions.
There are 3 cubes which are also square numbers, but only
Their cubes are therefore both squares and cubes.
We could also have started with integers which are cubes, and then square them:
The cubes are:
However, if we look at the indices:
Find the numbers which are sixth powers and have