Irrational numbers. infinite zecimals right?
I always get the feeling that multiplying an irrational number with another number (any number) , you get infinite. what do you think?
I think you don't know how to multiply real numbers.
>>8934857
π * π^(-1) = 1
Zero decimals (necessary at least)
Square root of 2 is irrational. Square root of 2 times square root of 2 is 2, which I would not consider infinite.
>>8934864
forgot to mention it needs to be a natural number
Are there any non trivial solutions to this?
>>8934857
1/pi*pi
>>8934865
Let x be irrational. Let n be a natural number. If xn is rational then xn = a/b whet a and b are natural. But then x = an/b. a*n must also be natural, meaning x is rational. Contradiction, therefore xn must be irrational.
Elementary school math.
They're just numbers we can't write in base 10 you idiot
>>8934863
Define the multiplication operation on the reals. You can easily prove the reals are closed under this operation, so the product of two real numbers is not infinite.
Irrational numbers don't exist.
>>8934862
/thread
>>8935239
Wildberger pls
>>8934862
Why you even reply to this undergrad reddit lowschool shit? By doing so you are even bigger idiot than the op fag00t is.