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WAEC Further Mathematics 2006 Question 4

Question 4

Binary Operations

A binary operation * is defined on the set R, of real numbers by a * b = ab/4. Find the value of √2 * √6.

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

Answer: C (√3/2)

Explanation

√2 * √6 = (√2 × √6)/4 = √12/4 = 2√3/4 = √3/2.