If i understand correctly, the discovery of complex numbers was linked to solving real number problems, s.a. finding square roots of negative numbers. In other words, at first there was a problem that was formulated using real numbers only that had no real number solutions, which lead to extending the concept of numbers to include complex numbers. Is there a similar problem that uses complex numbers only but has no complex number solution and requires the introduction of hypercomplex numbers? Or is it that hypercomplex numbers were discovered/invented by simply adding extra dimensions to complex numbers? Thank you in advance!