Question 1
Binary OperationsA binary operation * is defined on the set of real numbers, R, by x * y = x2 − y2 + xy, where x, y ∈ R. Evaluate (√3) * (√2)
- A.1 − √6
- B.√6 − 1
- C.√6
- D.1 + √6
Show the answer and explanation
Answer: D (1 + √6)
Explanation
(√3)² − (√2)² + √3 × √2 = 3 − 2 + √6 = 1 + √6.