Square roots are fundamental to (real and complex) analysis and to algebra (in the study of polynomials), so the two major branches of modern mathematics.
They are fundamental to the arithmetic used in analysis and algebra.
One can get along quite well without them once you replace the arithmetic expressions with more general objects.
Also fundamental to geometry (pythagorean equation and others).
They are fundamental to the arithmetic used in analysis and algebra.
One can get along quite well without them once you replace the arithmetic expressions with more general objects.