OAU Post-UTME Mathematics 2023 Question 19

Question 19

Surds

Simplify (√a + 1/√a)2 − (√a − 1/√a)2

  1. A.√a
  2. B.2/√a
  3. C.4
  4. D.2
Show the answer and explanation

Answer: C (4)

Explanation

Use p² − q² = (p + q)(p − q): (2√a)(2/√a) = 4.