Cubes and Cube roots G8

What comes to your mind when you see the number - 1729? Is it just an ordinary number like the rest? Not at all! There is a very intriguing story behind this number. The number is the famously called “Hardy-Ramanujan number”, among mathematicians. It is the smallest number which is a sum of two cubes in two different ways - i.e. 1729 = 1728 + 1 = 12^3 + 1^3. This is one of the ways to find out. And as mentioned above, there is one more distinct way to obtain 1729 as the sum of the cubes of two numbers. Try solving it out. No wonder the world of cubes and cube roots is incredible. Let us unravel some more astonishing facts of this world in this chapter!