Question

Which of the following statements is false?
a. The product of two rational numbers is always irrational.
b. The sum of a rational number and an irrational number is always irrational.
c. The product of a nonzero rational number and an irrational number is always irrational.
d. The product of two irrational numbers is either rational or irrational.

Answer 1

a. is the answer and is false

proof   5 x 5  =25 Both 5s are rational and so is 25

√4  x √4 = √16 = 4  All are rational.

Answer 2

a is the answer

also false

all is rational numbers