Math and Arithmetic
Numbers
Irrational Numbers

# Can 2 irrational numbers add together to form a rational?

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Yes. For example:

a = 10 - pi

b = pi

Both are irrational; the sum a + b is 10.

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## Related Questions

Integers are whole numbers. They are the counting numbers, 0 and the corresponding negative numbers. Rational numbers are numbers that can be expressed as a ratio of two integers (the second one being non-zero). Irrational numbers are numbers that are not rational numbers. Rational and irrational number together form the set of real numbers.

No. Irrational and rational numbers can be non-negative.

Rational numbers can be represented in the form x/y but irrational numbers cannot.

They are not rational, that is, they cannot be expressed as a ratio of two integers.Their decimal equivalent is infinitely long and non-recurring.Together with rational numbers, they form the set of real numbers,Rational numbers are countably infinite, irrational numbers are uncountably infinite.As a result, there are more irrational numbers between 0 and 1 than there are rational numbers - in total!

Real numbers can be rational or irrational because they both form the number line.

Rational numbers are numbers that can be written as the division of two integers where the divisor is not zero. Irrational numbers are numbers that are not rational.Irrational numbers, therefore, are numbers that can notbe written as the division of two integers where the divisor is not zero.

Rational numbers are sometimes represented in tabular form, e.g. for proofs relating to different infinities. Irrational and real numbers are not because there is no way to do it.

-8.0 is a rational number. Irrational numbers are things such as numbers that can't be expressed as a fraction in the a/b form. Such numbers that are irrational include pi, square roots of negative numbers, etc.

A rational number is one which can be expressed as a ratio of two integers in the form p/q where q &gt; 0. An irrational number is one which cannot be expressed in such a form.

4.72 is a rational number because if so required it can be expressed as fraction in the form of 118/25 in its lowest terms.

rational and irrational numbers are two types of real Numbers. all real numbers which are terminating and non terminating but repeating comes in the category of rational numbers. all real numbers which are non terminating and non recurring comes in the category of irrational numbers. rational numbers are expressed in the p/q form where p and q are both integers and q is not equal to 0.the opposite the case is with irrational numbers. they are not expressed in the p/q form

It is a rational number because it can be expressed as a fraction in the form of 11/30 whereas irrational numbers can't be expressed as fractions

A rational number is a number that can be expressed as a ratio of two integers in the form A/B where B&gt;0. An irrational number is a real number that is not rational.

The rational numbers form a field. In particular, the sum or difference of two rational numbers is rational. (This is easy to check directly). Suppose now that a + b = c, with a rational and c rational. Since b = c - a, it would have to be rational too. Thus you can't ever have a rational plus an irrational equalling a rational.

Yes. All rational numbers can be changed into fraction form, while all numbers that can't are irrational.

Rational numbers can be expressed in the form p/q (where q is not equal to zero). Irrational numbers cannot be expressed in this form. For example, the square root of 2 cannot be expressed as p/q.

It is a non-integer. It can be a rational fraction (in decimal or rational form); it can be an irrational number (including transcendental numbers); it could be a complex number or a quaternion.

A rational number is one which can be expressed as a ratio of two integers, in the form p/q where q&gt;0. However, there are even more numbers which cannot be so expressed. So we need irrational numbers.

Integers are whole numbers. Fractions, whether in decimal or divisional form, can be either rational or irrational.

Such numbers cannot be ordered in the manner suggested by the question because: For every whole number there are integers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every integer there are whole numbers, rational numbers, natural numbers, irrational numbers and real numbers that are bigger. For every rational number there are whole numbers, integers, natural numbers, irrational numbers and real numbers that are bigger. For every natural number there are whole numbers, integers, rational numbers, irrational numbers and real numbers that are bigger. For every irrational number there are whole numbers, integers, rational numbers, natural numbers and real numbers that are bigger. For every real number there are whole numbers, integers, rational numbers, natural numbers and irrational numbers that are bigger. Each of these kinds of numbers form an infinite sets but the size of the sets is not the same. Georg Cantor showed that the cardinality of whole numbers, integers, rational numbers and natural number is the same order of infinity: aleph-null. The cardinality of irrational numbers and real number is a bigger order of infinity: aleph-one.