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here s a question

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Thread replies: 15
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irrational.jpg
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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)
>>
>>8934860
?
>>
Square root of 2 is irrational. Square root of 2 times square root of 2 is 2, which I would not consider infinite.
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>>8934864
forgot to mention it needs to be a natural number
>>
Are there any non trivial solutions to this?
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>>8934857
1/pi*pi
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>>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
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>>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.
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>>8934862
/thread
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>>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.
Thread posts: 15
Thread images: 1


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