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JAMB Mathematics 1998 Question 5

Question 5

Surds

Find the value of K if K/(√3 + √2) = K√3 − 2

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

Answer: D (√2)

Explanation

K = (K√3 − 2)(√3 + √2) = 3K + K√6 − 2√3 − 2√2, so K(2 + √6) = 2(√3 + √2). Since 2 + √6 = √2(√2 + √3), K = 2/√2 = √2.