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

Question

Responses

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

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.

(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.

Answer 1

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