0
If a numerator and/or denominator in a fraction is irrational, the entire fraction is irrational. Since pi is irrational, pi divided by two is also irrational.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
If pi is irrational does that mean that pi divided by 2 is irrational?
Yes, it does. If Pi/2 were rational, it could be written as p/q, and then Pi could be written as 2p/q and would be rational as well.
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.
Is 2 pi a rational number?
No, since Pi is an irrational number, 2(pi) would still be irrational.
Why an irrational number plus an irrational number equal a rational?
That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.
Is pi divided by e rational?
A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of irrational numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers! A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.
Is an irrational number divided by an irrational number always a rational?
No. sqrt(2)/pi is not rational.
If pi is irrational does that mean that pi divided by 2 is irrational?
Yes, it does. If Pi/2 were rational, it could be written as p/q, and then Pi could be written as 2p/q and would be rational as well.
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.
Is 2 pi a rational number?
No, since Pi is an irrational number, 2(pi) would still be irrational.
How do you find two rational and irrational nos?
1, 2 are rational and square root of 2 and pi are irrational.
Are all fractions rational numbers?
No. pi/2 is a fraction but, since pi is irrational, so it pi/2.
Is pi over 2 a whole integer rational or irrational number?
If you multiply or divide an irrational number - such as pi - by ANY rational number (except zero), you will ALWAYS get an irrational number.
Is 67 divided by a rational or irrational?
You can divide 65 by rationals and irrationals: Divided by a rational: 65 ÷ 13/2 = 10 Divided by an irrational: 65 ÷ √13 = 5√13
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.
Why an irrational number plus an irrational number equal a rational?
That simply isn't true. The sum of two irrational numbers CAN BE rational, but it can also be irrational. As an example, the square root of 2 plus the square root of 2 is irrational.
Is pi divided by e rational?
A rational number is able to be represented as a ratio of polynomials. pi/e is a ratio of irrational numbers, neither of which can be represented as a ratio of polynomials, and so I would conclude that pi/e is not rational. But it's a good question, because what if two irrational numbers could cancel out their irrationality, like two negative numbers! A quotient of two irrational numbers can be a rational number. Trivial example 2pi/pi = 2.
Can You multiply a rational and irrational number and get an irrational product?
Yes, multiplying a rational and an irrational number gives an irrational product. For example 3 * pi = 3pi = 9.424789... or 2 * sqrt 2 = 2^(3/2).
