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Subjects>Math>Math & Arithmetic

Can the quotient of two irrational numbers be irrational?

Anonymous

∙ 12y ago

Updated: 11/1/2022

Yes, but not necessarily.

Wiki User

∙ 12y ago

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Q: Can the quotient of two irrational numbers be irrational?

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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.

Is the quotient of two irrational numbers is irrational?

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.

If you add two irrational numbers do you get an irrational number?

Not necessarily. The sum of two irrational numbers can be rational or 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 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 irrational numbers is irrational?

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.

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

WRONG!!!!! Irrational numbers CANNOT be expressed as a quotient(fraction). Casually, irrational numbers are those were the decimals go to infinity AND there is no regular order in the decimal digits. e.g. pi = 3.1415192.... is Irrational 3.3333.... is rational.

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.

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