Final answer:
The expression that will equal a rational product even though it is multiplying two irrational numbers is A. √11 × √11. Hence the correct answer is option A
Step-by-step explanation:
To find an expression that will equal a rational product even when multiplying two irrational numbers, we need to look for a situation where the irrational numbers cancel each other out. The expression that satisfies this requirement is A. √11 × √11.
We can rewrite √11 as 11(1/2). When we multiply 11(1/2) by itself, the exponents add up to 1, resulting in 111, which is equal to 11.
Therefore, multiplying √11 by √11 yields 11, which is a rational number.
Hence the correct answer is option A