e^pi ~ 23.14069.............., not rational
Yes. 2*pi is irrational, pi is irrational, but their quotient is 2pi/pi = 2: not only rational, but integer.
No, it is not.
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.
Technically it is, as pi can be considered as a rational number, if left as pi, and not 3.145...
e^pi ~ 23.14069.............., not rational
3.14 is a rational number pi is not. pi is not 3.14
(pi) itself is an irrational number. The only multiples of it that can be rational are (pi) x (a rational number/pi) .
No, it is not.
Pi is irrational.
No. pi/2 is a fraction but, since pi is irrational, so it pi/2.
No 10*pi is not a rational number because it can't be expressed as a fraction
No 22*pi is not a rational number
Yes. For example, if you take any truncated equivalent of pi then it will be rational.
It the radius is r then the area is pi*r*r - which is pi times a rational number. pi is an irrational number, so the multiple of pi and a rational number is irrational.
Any multiple of or addition to or subtraction from PI is an irrational number. PI divided by PI is 1, a rational number. So is PI times 0 = 0
Assuming that you mean pi, and not pie, it is not a rational number.The set of rational numbers is a field and this means that for every non-zero rational number, there exists a multiplicative inverse in the setand also, due to closure, the product of any two rational numbers is a rational number.Now suppose 7*pi were rational.7 is rational and so there is its multiplicative inverse, which is (1/7).(1/7) is also rational so (1/7)*(7*pi) is rationalBut by the associative property, this is (1/7*7)*pi = 1*pi = pi.But it has been proven that pi is irrational. Therefore the supposition must be wrong ie 7*pi is not rational.