No.
The sum 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
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always irrational.
Yes, it will always be irrational.
No, never.
No. If the rational number is not zero, then such a product is irrational.
The sum is irrational.
The product of 0 and an irrational is 0 (a rational), the product of a non-zero rational and any irrational is always 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
Yes
Yes, it will always be irrational.
No, never.
Yes, always.
Only if the rational number is 0.
An irrational number is a number that has no definite end. So it can't be multiplied or divided by anything to make a rational number that does have a definite end.
It can be a rational number or an irrational number. For example, sqrt(2)*sqrt(50) = 10 is rational. sqrt(2)*sqrt(51) = sqrt(102) is irrational.
from another wikianswers page: say that 'a' is rational, and that 'b' is irrational. assume that a + b equals a rational number, called c. so a + b = c subtract a from both sides. you get b = c - a. but c - a is a rational number subtracted from a rational number, which should equal another rational number. However, b is an irrational number in our equation, so our assumption that a + b equals a rational number must be wrong.