Answer:
A.
the sum of two irrational numbers
B. the product of two irrational numbers
Step-by-step explanation:
A. The sum of two rational number is sometimes a rational number.
For Example: (2 + √3) + (5 -√3) = 8 which is a rational number.
B. The product of two irrational number can be a rational number but it is not always true.
For Example: (8 + √3) × (8 -√3) = 8² - 3 = 64 - 3 = 61
C. The sum of rational and irrational number is always a rational number.
For Example: 2 + √5 which is an irrational number.
D. The product of rational and irrational number is always an irrational number.
For Example: 8 × (2 + √3) = 16 + 8√3 which is an irrational number.
Further, Rational Number is the number in the form , where q≠0.
Example:
The decimal which is non-terminating, non-repeating decimal expansion and thus it can't be written in the form of simple fraction is called irrational number.
Example: √5, π, 27.458978445...., etc.