Provide a counterexample for the following statement:

"The product of two irrational numbers is always irrational."

A) (

2

3

) (

3

2

) = 1

B) (5) (

2

) = 5

2

C) (

1

2

) (

1

3

) =

1

6

D) (

2

) (

1

2

) = 1

Question

Ingrid Acosta

Mathematics

2 July, 17:32

Provide a counterexample for the following statement:

"The product of two irrational numbers is always irrational."

A) (

2

3

) (

3

2

) = 1

B) (5) (

2

) = 5

2

C) (

1

2

) (

1

3

) =

1

6

D) (

2

) (

1

2

) = 1

+2

Answers (1)

Know the Answer?

Jarrett Carrillo · Answer 1

I can't determine what options you have because they got transposed vertically,

But look at 1/3 x 1/7 = 1/21. Can't use 1/2 or any other rational fraction.

Provide a counterexample for the following statement:"The product of two irrational numbers is always irrational."A) (23) (32) = 1B) (5) (2) = 52C) (12) (13) =16D) (2) (12) = 1

Provide a counterexample for the following statement:

"The product of two irrational numbers is always irrational."

A) (

2

3

) (

3

2

) = 1

B) (5) (

2

) = 5

2

C) (

1

2

) (

1

3

) =

1

6

D) (

2

) (

1

2

) = 1