/sci/ - Science & Math

>>5809038
Oh look, another stupid question on /sci/

>>5809039
Pi + 1 = irrational.

>>5809039
Oh look, another condescending asswhore on /sci/

Just sub values in and test it.

Like this guy did >>5809043

>>5809038
you sure you know what an irrational number is?

>>5809045
>shitposting
>trolling

>>5809038
There must be two irrational numbers which, when added together, produce a rational number.

>>5809054

Isn't it like a number that has like a infinite size?

Those things are pretty amazing, we've sent rovers to mars and built the LHC and yet can't find the last digit of pi

4 - pi = x = irrational number

pi + x = rational.

>>5809125

irrational + x = y
y is always irrational for addition
not sure about multiplication
not necessarily for exponentiation, as pi^2 is irrational, but sqrt(2)^2 is 2.

>>5810469
I think multiplication can be proven informally by thinking about the binary. A binary representation of an irrational number has an infinite number of 1s and 0s the further you go right. Multiplying by 2 shifts every bit to the left once, leaving still an infinite number of 1s and 0s, thus still an irrational number.

>>5809122
Of course there is. The irrational numbers (4-pi) and pi form such a pair.

>>5810469
>not sure about multiplication
The product of an irrational number and a rational number is always irrational. The product of two irrational numbers can be either.

>>5810469
> pi^2 is irrational

prove it

>>5810469
>not sure about multiplication
The product of an irrational number and a rational number is always irrational, unless the rational number is zero. The product of two irrational numbers can be either.

>>5810509
>>5810509
>unless the rational number is zero
I was just about to yell at you for forgetting that in the first post.

>>5810512
I actually thought of it before writing the post, and then forgot to actually write it -.-

>>5810507
pi=3
pi^2=9
9=sqrt(81)
roots are irrational QED