It can. pi / sqrt(5) = an irrational number. However, it doesn't have to be: pi / pi = 1.
yes
Yes, but not necessarily.
Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.
Irrational 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.
An 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.
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.
No, all real numbers are classified as either rational or irrational. Rational numbers can be expressed as the quotient of two integers, while irrational numbers cannot be expressed as such and have non-repeating, non-terminating decimal expansions. Thus, there are no real numbers that fall outside these two categories.
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.
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.
In between any two rational numbers there is an irrational number. In between any two Irrational Numbers there is a rational number.