UI Post-UTME Mathematics 2012 Question 11

Question 11

Surds

Find the positive square root of 7 − 2√10

  1. A.√5 − √2
  2. B.√5 + √2
  3. C.√2 − √5
  4. D.3
Show the answer and explanation

Answer: A (√5 − √2)

Explanation

(√5 − √2)² = 7 − 2√10, and √5 − √2 is positive.