Question

What 3-digit number is a perfect square and a perfect cube?

Answer 1

999 is the correct answer

Answer 2

the numbers i know are 64 and 729 which is both a sqr and a cube. i took long time to solve this.. is there any easier way? For a given positive number N to be a perfect square, it must satisfy S2 = N, where S is another positive number. Similarly, C3 = N for a perfect cube.