# Why do irrational numbers exist?

Though common person may find many things in mathematics as incomprehensible or difficult to understand, they do exist in some form and serve the purpose of understanding of nature.

It appears that by the question "why do irrational numbers exist?#, questioner means, whether irrational numbers exist in nature.

Since objects are counted in natural numbers and are therefore regarded as natural numbers, we have no concerns about natural numbers.

Before we discuss irrational numbers, let's look at a few instances of them.

Therefore, a great deal of information can be better understood by using irrational numbers. These numbers do exist in nature, even though the average person may not find them particularly easy to understand. The point is, these numbers simplify the understanding of a great deal of information.

In actuality, even complex numbers—which even mathematicians found extremely challenging to understand until the 17th century—make electromagnetic phenomena and the flow of current through electronic circuits using resistances, inductance, and capacitors easier to understand.

Therefore, even though the average person may find many concepts in mathematics to be confusing or difficult to understand, they do exist in some form and are necessary to comprehend nature.

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Irrational numbers exist because there are quantities that cannot be expressed as the ratio of two integers. These numbers have non-repeating and non-terminating decimal expansions. They arise from mathematical concepts such as square roots of non-perfect squares or the ratio of a circle's circumference to its diameter.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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