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It can. pi / sqrt(5) = an irrational number. However, it doesn't have to be: pi / pi = 1.
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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
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.
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.
What is a number that can be written as a quotient of 2 positive or negative numbers?
Any positive number can be written as a quotient of two positive numbers or a quotient of two negative numbers. Any real number can be written as the quotient of two real numbers.
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.
Are there more rational numbers than irrational numbers true or false?
In between any two rational numbers there is an irrational number. In between any two irrational numbers there is a rational number.
Are more rational numbers than irrational numbers true or false?
In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.
