Question

Which of the following statements is false?
A. the sum of two rational numbers is always rational
B. the product of a non-Zero rational number and an irrational number is always irrational
C. the product of two rational numbers is always rational
D. the sum of two irrational numbers is always rational
I think D

Answer 1

@Michele_Laino

Answer 2

D is correct, i think, im leaning towards C

Answer 3

so d is actually not false

Answer 4

@TheSmartOne

Answer 5

I'm thinking...

Answer 6

I think that option B is equivalent to option C, furthermore option A is equivalent to option D.

Answer 7

so which one do you think it is?

Answer 8

I think that the subsequent sum:
\[\Large \pi + e\]
is not a rational number.
Here, \(\large e\) is the base of natural logarithms, namely it is an irrational number

Answer 9

are you agreeing on D?

Answer 10

or B?

Answer 11

It has to be false

Answer 12

yes!
and I have made an error, since option A is not equivalent to option D.

Answer 13

so D right?

Answer 14

I think that option D. is false

Answer 15

ok thanks so much again

Answer 16

:)