Sum Of Floor Of Irrational Numbers

Or will it be an irrational number.

Sum of floor of irrational numbers.

Or could it be either. The sum of two irrational numbers is not always an irrational number. The sum of two irrational numbers can be rational and it can be irrational. To learn more about irra.

In mathematics the irrational numbers are all the real numbers which are not rational numbers that is irrational numbers cannot be expressed as the ratio of two integers when the ratio of lengths of two line segments is an irrational number the line segments are also described as being incommensurable meaning that they share no measure in common that is there is no length the measure. It depends on which irrational numbers we re talking about exactly. A rational number can be written as a ratio of two integers ie a simple fraction. And their sum gives us another rational number.

So let s assume that this is going to give us a rational number. A simple example is adding sqrt 2 and sqrt 2 both of which are irrational and sum to give the rational number 0. Well let s express that as the ratio of two other integers m and n. Irrational means not rational.

Yes yes the sum of two irrational numbers can be rational. In division for all rationals of the form q 0 p q are integers two things can happen either the remainder becomes zero or never becomes zero. So let s say that this first rational number we can represent as the ratio of two integers a and b. Let s call this irrational number let s just call this x.

The product of two irrational numbers is not always an irrational number. Let s look at what makes a number rational or irrational. The same goes for products for two irrational numbers.