Which of the following could be a rational number? a. the sum of two irrational numbersb. the product of two irrational numbersc. the sum of a rational number and an irrational numberd. the product of a rational number and an irrational number

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.

lo ; )

the third picture

step-by-step explanation: