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Because numbers such as pi, e and the square root of 2 are not rational.

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11y ago

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Related Questions

Why whole numbers require an extension?

as whole numbers does not contain negative numbers, so for denoting ( eg: deapth of the sea,etc )negative things they require an extension.


Why do you need a extenstion of rational numbers?

You need an extension because rational numbers are a tiny subset of all real numbers. There are transcendental numbers such as pi and e which are key to geometry and calculus (respectively), the Golden ratio, as well as all the non-rational roots of rational numbers.


Why integers need an extension?

In the first stage, the set of all integers needs an extension - to the set of rational numbers - to get closure for division (which is the inverse operation to multiplication).


Why integers need extension?

In the first stage, the set of all integers needs an extension - to the set of rational numbers - to get closure for division (which is the inverse operation to multiplication).


Why do integers require an extension?

because all numbers like irrational numbers could not be included in the set of integers


Let K be an extension of the field Q of rational numbers?

OK. I'm agreeable. Sounds reasonable to me. K has my permission.


Is 3.9 rational or irrational?

If there are no numbers after the 9 it is rational


Are some rational numbers are not real numbers?

No. Rational numbers are numbers that can be written as a fraction. All rational numbers are real.


Are rational numbers whole numbers?

The set of rational numbers includes all whole numbers, so SOME rational numbers will also be whole number. But not all rational numbers are whole numbers. So, as a rule, no, rational numbers are not whole numbers.


Is the difference of rational numbers a rational number?

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


Is 6.6 irrational or rational?

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


Are natural numbers the same of rational numbers?

The set of rational numbers includes the set of natural numbers but they are not the same. All natural numbers are rational, not all rational numbers are natural.