Which of the following statements is false? (5 points)

The sum of two rational numbers is always rational.
The product of a nonzero rational number and an irrational number is always irrational.
The product of two rational numbers is always rational.
The sum of two irrational numbers is always rational.

Question

Which of the following statements is false? (5 points)

	The sum of two rational numbers is always rational.
	The product of a nonzero rational number and an irrational number is always irrational.
	The product of two rational numbers is always rational.
	The sum of two irrational numbers is always rational.

welshfella · Answer

I'm puzzled a bit - I think these are all true...

Are you sure you have the question right?

kpop4life123 · Answer

yes i do

welshfella · Answer

OH  
Sorry i misread  one of them.

kpop4life123 · Answer

:)

cp123 · Answer

D

welshfella · Answer

Hint:- : lets take 2 irrational numbers and add them  

sqrt3 + sqrt3 =  what?

cp123 · Answer

The product of two irrational numbers can be BOTH irrational or rational. Not just rational. So, D is false.

kpop4life123 · Answer

oh ok

welshfella · Answer

D is talking about the SUM not the product.

kpop4life123 · Answer

so which one is it?

welshfella · Answer

Look at my hint This should help.

kpop4life123 · Answer

oh ok thanks :)