Question

If p and q are non-zero rational numbers, and s and t are irrational numbers, select all of the statements that are always false.
answer choices are
The product pq is irrational.


The product pt is irrational.


The quotient pq is irrational.


The product st is irrational.


The quotient st is rational.

Answer 1

Answer:

The false choices are A, C, and E

Step-by-step explanation:

Let's make an example:

p=1

q=2

s=sqrt(3)

t=sqrt(6)

Since pq=1*2=2, the answer is rational and A is false.

Since pt=1*sqrt(6)=sqrt(6), the answer is irrational and B is true.

Since p/q=1/2=0.5, the answer is rational and C is false.

Since st=sqrt(3)*sqrt(6)=sqrt(18), the answer is irrational and D is true.

Since s/t=sqrt(3)/sqrt(6)=sqrt(1/2), the answer is irrational and E is false.