Have you ever wondered about using dimensional analysis in mathematics, as we do in physics.
For example, the Pythagoras formula is:
a^2+b^2=c^2
which relates the surface areas of squares resting on different sides of a right-angled triangle.
Therefore, based on a simple dimensional analysis, we may conclude:
a^2+b^2, could NOT be equal to c^3, due to conflict of dimensions.
This is a simple example. How about using dimensional analysis in other mathematics problems.
Please, feel free to share with me, your idea and comment.