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Give an example of two irrational numbers whose product is not irrational?
(pi) x (1/pi) = 1
Can you multiply an irrational number times an irrational number and get a rational number?
Well, (pi) x (1/pi) = 1 .
Can you multiply irrational numbers to get a rational number?
yes pi*(1/pi) = 1
Find two irrational numbers whose sum is a rational number?
(pi - 1) and (2 - pi) Sum = (pi - 1 + 2 - pi) = 1
Is the square of pi a rational or irrational nuymber?
The square of pi is an irrational number.
Since pi is not real does that mean that 1 plus or minus pi isn't real also?
pi IS real. It's irrational, but not unreal.
What is an irrational number less than 0?
Minus square root of 2, minus square root of 3, minus pi, minus e, etc. Or, to be a bit more fancy, 1 - pi, 2 - pi, 3 - pi, pi - 4, pi - 5, 2 - e, e - 3, square root of 2 minus 2, etc.
What irrational number can be added to pi to get a sum that is rational?
Minus pi. Or minus pi plus any rational number. Here is how you can figure this out (call your unknown number "x", and let "r" stand for any rational number):x + pi = r To solve for "x", simply subtract pi from both sides. That gives you: x = r - pi
Can the quotient of any two irrational numbers be irrational?
It can. pi / sqrt(5) = an irrational number. However, it doesn't have to be: pi / pi = 1.
Is 1 - pi rational or irrational?
It is an irrational number
Give an example of two irrational numbers whose product is not irrational?
(pi) x (1/pi) = 1
Can you multiply an irrational number times an irrational number and get a rational number?
Well, (pi) x (1/pi) = 1 .
Is negative pi rational or irrational?
-Pi is irrational, because it does not terminate or repeat. Whenever you multiply an irrational number by a rational number (-1), the result is an irrational number.
What is the sqaure root of pi?
In a calculator pi^(1/2) = pi^(0.5) = 3.141592.....^ (1/2) = 1.772453851.... Since 'pi' is an irrational number, then the square root of 'pi' is also irrational .
Can you multiply irrational numbers to get a rational number?
yes pi*(1/pi) = 1
Is the set of irrational numbers closed under multiplication?
No. We go with the proof of a counter-example. pi is a well known irrational number. So is 1/pi. Then pi x (1/pi) = 1, a rational number. If you're not convinced that 1/pi is irrational as well, assume that 1/pi is rational, so that 1/pi = p/q, where p and q are integers and q is not 0 (implicitly, p is also not 0). Then pi = q/p, a contradiction to the fact that pi is not a rational number.
Is 2 pi a rational number?
No, since Pi is an irrational number, 2(pi) would still be irrational.
