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Q: Can you add two positive irrational numbers and get a rational number?
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What is the positive rational number and positive irrational number that are smaller than 0.0001?

there are infinitely many positive rational and irrational numbers smaller than .0001. Try .00001. Or how about π/100000.


Can irrational numbers be rational numbers?

No. If it was a rational number, then it wouldn't be an irrational number.


List of rational and irrational numbers?

-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.


Can you add two irrational numbers to get a rational number?

Yes Yes, the sum of two irrational numbers can be rational. A simple example is adding sqrt{2} and -sqrt{2}, both of which are irrational and sum to give the rational number 0. In fact, any rational number can be written as the sum of two irrational numbers in an infinite number of ways. Another example would be the sum of the following irrational quantities [2 + sqrt(2)] and [2 - sqrt(2)]. Both quantities are positive and irrational and yield a rational sum. (Four in this case.) The statement that there are an infinite number of ways of writing any rational number as the sum of two irrational numbers is true. The reason is as follows: If two numbers sum to a rational number then either both numbers are rational or both numbers are irrational. (The proof of this by contradiction is trivial.) Thus, given a rational number, r, then for ANY irrational number, i, the irrational pair (i, r-i) sum to r. So, the statement can actually be strengthened to say that there are an infinite number of ways of writing a rational number as the sum of two irrational numbers.


What is a rational and irrational number?

Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

Related questions

Is a positive number a rational or irrational number?

Positive numbers can be either rational or irrational.


Can irrational numbers be rational numbers?

No. If it was a rational number, then it wouldn't be an irrational number.


What is the positive rational number and positive irrational number that are smaller than 0.0001?

there are infinitely many positive rational and irrational numbers smaller than .0001. Try .00001. Or how about π/100000.


Are rational numbers is an irrational numbers?

yes * * * * * No. Rational and irrational numbers are two DISJOINT subsets of the real numbers. That is, no rational number is irrational and no irrational is rational.


The rational numbers are a subset of the irrational numbers?

No, they are complementary sets. No rational number is irrational and no irrational number is rational.Irrational means not rational.


List of rational and irrational numbers?

-- There's an infinite number of rational numbers. -- There's an infinite number of irrational numbers. -- There are more irrational numbers than rational numbers. -- The difference between the number of irrational numbers and the number of rational numbers is infinite.


Are irrational numbers rational numbers?

No. Real numbers are divided into two DISJOINT (non-overlapping) sets: rational numbers and irrational numbers. A rational number cannot be irrational, and an irrational number cannot be rational.


Which is a real number that is not a rational number?

Actually there are more irrational numbers than rational numbers. Most square roots, cubic roots, etc. are irrational (not rational). For example, the square of any positive integer is either an integer or an irrational number. The numbers e and pi are both irrational. Most expressions that involve those numbers are also irrational.


Is -6.3 rational or irrational?

-6.3 is rational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.


What is the positive rational number and positive irrational number that are smaller than 0.000001?

Positive rational = 0.0000000001Positive irrational = 0.0000000001*pi


What is the Next to rational and irrational number?

Next to any rational number is an irrational number, but next to an irrational number can be either a rational number or an irrational number, but it is infinitely more likely to be an irrational number (as between any two rational numbers are an infinity of irrational numbers).


What will be the sum of a rational number and an irrational number?

It will be irrational. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.