halvizo1031 said:How do I represent Z and W as rational complex numbers?
Complex numbers are numbers that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit (i.e. √-1).
To prove that a complex number is rational, you need to show that it can be expressed as a ratio of two integers. In other words, you need to show that the imaginary part (bi) is equal to 0.
A rational complex number can be expressed as a ratio of two integers (e.g. 3 + 2i), while an irrational complex number cannot be expressed as a ratio of two integers (e.g. √2 + √3i).
No, not all complex numbers can be proven to be rational or irrational. Some complex numbers, such as 1 + i, are neither rational nor irrational.
Proving complex numbers to be rational or irrational is important in understanding the properties and behavior of these numbers. It also helps in solving complex equations and problems in mathematics and science.