JAMB Mathematics 1985 Question 15

Question 15

Surds

(∜3 + ∜2)(∜3 − ∜2)(√3 + √2) is equal to

  1. A.0
  2. B.∜3 + ∜2
  3. C.(∜3 − ∜2)(√3 + √2)
  4. D.√3 + √2
  5. E.1.
Show the answer and explanation

Answer: E (1.)

Explanation

The first two brackets give (∜3)² − (∜2)² = √3 − √2. Then (√3 − √2)(√3 + √2) = 3 − 2 = 1.