No.
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The difference can be rational or irrational.5 + sqrt(3) and 2 + sqrt(3) are both irrational numbers but their difference is[5 + sqrt(3)] - [2 + sqrt(3)] = 3, which is rational.
No, 3 is a rational number. Pi and the square root of 2 are irrational numbers.
There are an infinite number of rational numbers.Rational numbers are any number that can be expressed as a ration between 2 other numbers. 2 for example is a ratio of 2/1, 10000 = 10000/1, a half or 0.5 = 1/2 a third or 0.3333333333333reaccuring = 1/3 etc. Irrational numbers are those numbers than cannot be expressed no matter how hard we try to by dividing 2 numbers. Good examples of irrational numbers is square root of 2 (gives us 2 irrational numbers) and the ratio of a circles circumference to its diameter otherwise better known as pi (3.14159265etc,etc,etc). It is from this that we get the word irrational meaning beyond common sense.
The square root of 2 and the square root of 3 both qualify. Both of these are irrational and both are greater than 1 but less than 2. There are, of course, uncountably infinite different irrational numbers in the range between 1 and 2 and countably infinite rational numbers.
here are rational numbers--numbers that you can express as a fraction irrational numbers--numbers you cannot express as a fraction integers--whole numbers and their opposites(negatives) whole numbers--0, 1, 2, 3,... natural or counting numbers--1, 2, 3,....