Question 8
SurdsSimplify (√6 + 2)2 − (√6 − 2)2
- A.2√6
- B.4√6
- C.8√6
- D.16√6
Show the answer and explanation
Answer: C (8√6)
Explanation
Difference of two squares: [(√6 + 2) + (√6 − 2)][(√6 + 2) − (√6 − 2)] = 2√6 × 4 = 8√6.
Simplify (√6 + 2)2 − (√6 − 2)2
Answer: C (8√6)
Difference of two squares: [(√6 + 2) + (√6 − 2)][(√6 + 2) − (√6 − 2)] = 2√6 × 4 = 8√6.