41. One way to consider this is that the real value often has the characteristics of an irrational number . 42. In principle, the stories can be combined, since it is possible to discover irrational numbers when constructing dodecahedrons. 43. These irrational numbers are called normal. 44. It is also an irrational number . 45. Every irrational number which is constructible. 46. The question here is really, can we construct an irrational number with a finite number of rational parts? 47. Some people used to deny the existence of irrational numbers , and only believed that rational numbers truly existed. 48. An irrational number stays aperiodic ( with an infinite number of non-repeating digits ) in all integral bases. 49. It has been suggested that Fibonacci relationships are not the only irrational number based relationships evident in waves. 50. He is considered the first mathematician to systematically use and accept irrational numbers as solutions and coefficients to equations.