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In general, no. It is possible though. (2pi)/pi is rational. pi2/pi is irrational. The ratio of two rationals numbers is always rational and the ratio of a rational and an irrational is always irrational.

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14y ago
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13y ago

Not always. Eg sqrt12/sqrt3 = 2.

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Q: Is the quotient of two irrational numbers is irrational?
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Related questions

Is the quotient of two irrational numbers always irrational?

yes


Can the quotient of two irrational numbers be irrational?

Yes, but not necessarily.


Can the quotient of two irrational numbers be rational?

Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.


Real numbers that can't be expressed as a quotient of two integers?

Irrational number


What are real numbers that can't be expressed as a quotient of two integers?

An Irrational Number..


Is -5 a irrational number?

No, -5 is not an irrational number. Irrational numbers are numbers that cannot be represented as the quotient of two integers. Since -5 is already an integer, it is rational.


What is a number that cannot be expressed as a quotient of integers?

A number that cannot be expressed as a quotient of two integers is called an irrational number. Some common irrational numbers are pi (3.14159....) and the square root of two.


Can the quotient of any two irrational numbers be irrational?

It can. pi / sqrt(5) = an irrational number. However, it doesn't have to be: pi / pi = 1.


What are numbers that cannot be written as a quotient?

Irrational.


Is the quotient of two nonzero numbers always a rational number?

Yes, as long as the two nonzero numbers are themselves rational. (Since a rational number is any number that can be expressed as the quotient of two rational numbers, or any number that can be written as a fraction using only rational numbers.) If one of the nonzero numbers is not rational, the quotient will most likely be irrational.


Is the number 0.112123123412345. a rational or irrational number?

It's rational. It can be written as the quotient of two numbers whose HCF is one.


Every irrational number can be expressed as a quotient of integers?

The statement is false; in fact, no irrational number can be exactly expressed as a quotient of integers because this property is the definition of rational numbers.