Question

Sums of Real Numbers Quick Check
Is the following statement true or false? If it is false, provide a counterexample.
The sum of two rational numbers is always rational, and the sum of two irrational numbers is always irrational.

a. The statement is false. A counterexample is the sum of the rational numbers 4/7 and 2/9

b. The statement is false. A counterexample is the sum of the irrational numbers - pi and pi

c.The statement is true.

d.The statement is false. A counterexample is the sum of the rational number 2 and the irrational number
0.3030030003....​

Answer 1

Option b.

The statement is false. A counter example is the sum of irrational no pi and -pi