Select the answer with a rational product and a correct explanation for why the product is rational.(1 point)

Question

Responses

(0.777...)⋅1921
, because the product of a repeating decimal and a rational number is always a rational number.
, because the product of a repeating decimal and a rational number is always a rational number.

17⋅36−−√
, because the product of a fraction and a square root is always a rational number.
1 seventh times square root of 36, because the product of a fraction and a square root is always a rational number.

5π⋅π
, because the product of a fraction and an irrational number is always a rational number
5 over pi times pi, because the product of a fraction and an irrational number is always a rational number

5–√⋅125−−−√
, because the product of two irrational numbers is always a rational number.

Answer 1

5√⋅125√, because the product of two irrational numbers is always a rational number.

Answer 2

so s it a b c or d

Answer 3

The correct answer is option D: 5√⋅125√, because the product of two irrational numbers is always a rational number.