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.
Not always. Eg sqrt12/sqrt3 = 2.
Yes, but not necessarily.
Irrational number
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.
There are irrational numbers (like PI and e) that have infinitely many decimals which do not repeat and rational numbers (the quotient of two integers) which do eventually repeat.
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
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.
It can. pi / sqrt(5) = an irrational number. However, it doesn't have to be: pi / pi = 1.
Irrational.
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.
It's rational. It can be written as the quotient of two numbers whose HCF is one.
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.