Respuesta :
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.
The false statements are:
The product pq is irrational.
The quotient pq is irrational.
The quotient st is rational.
A rational number is a number can be expressed as a fraction of two whole numbers. While, an irrational number is a number that cannot be expressed as the fraction of two whole numbers.
Examples of rational numbers are: 6, 2,3
Examples of irrational numbers are: √2, √3
Let p and q be represented with 2 and 6 respectively.
The product of 2 and 3 = 2 x 6 = . The number is a rational number
Let p and t be represented with 2 and √2 respectively.
The product of 2 and √2 = 2 x√2 = 2√2. The product is irrational
The quotient of pq = 6 /2 = 3.
The quotient is rational.
Let s and t be represented with √2, √3. The product is √2 x √3 = √6. The product is irrational.
The quotient of s and t = √2 /√3.
The number is irrational.
To learn more about rational numbers, please check: https://brainly.com/question/15815501?referrer=searchResults
