I think that the sum will always be a rational number
let's prove that
<span>any rational number can be represented as a/b where a and b are integers and b≠0
</span>and an integer is the counting numbers plus their negatives and 0
so like -4,-3,-2,-1,0,1,2,3,4....
<span>so, 2 rational numbers can be represented as
</span>a/b and c/d (where a,b,c,d are all integers and b≠0 and d≠0)
their sum is
a/b+c/d=
ad/bd+bc/bd=
(ad+bc)/bd
1. the numerator and denominator will be integers
2. that the denominator does not equal 0
alright
1.
we started with that they are all integers
ab+bc=?
if we multiply any 2 integers, we get an integer
<span>like 3*4=12 or -3*4=-12 or -3*-4=12, etc.
</span>even 0*4=0, that's an integer
the sum of any 2 integers is an integer
like 4+3=7, 3+(-4)=-1, 3+0=3, etc.
so we have established that the numerator is an integer
now the denominator
that is just a product of 2 integers so it is an integer
<span>2. we originally defined that b≠0 and d≠0 so we're good
</span>therefore, the sum of any 2 rational numbers will always be a rational number <span>is the correct answer.</span>
Answer:
thanks for the points !!! ;)
Step-by-step explanation:
Answer:
<h2>Hi there !</h2>
![y = \sqrt[2]{x}+2 \: will \: pass \: through \: (0 \:, 2) \: and \: ( - 8 \:, 0)](https://tex.z-dn.net/?f=y%20%3D%20%20%5Csqrt%5B2%5D%7Bx%7D%2B2%20%5C%3A%20will%20%5C%3A%20pass%20%5C%3A%20through%20%5C%3A%20%280%20%5C%3A%2C%202%29%20%5C%3A%20and%20%5C%3A%20%28%20-%208%20%5C%3A%2C%200%29)
Step-by-step explanation:
Hope it helps ya~
Stay safe, stay healthy and blessed
Have a good day!
Thank you
Answer:
Ummmmm none I guess
Step-by-step explanation:
rawr
