WAEC Mathematics 2011 Question 32

Question 32

Surds

If √72 + √32 − 3√18 = x√8, find the value of x.

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

Answer: C (1/2)

Explanation

6√2 + 4√2 − 9√2 = √2, and √8 = 2√2. So √2 = 2x√2 and x = ½.