Railways PYQCBT 1 2016

RRB NTPC · Question 65

Simplify: \(\frac{{\sqrt {32} - \sqrt {18} }}{{\sqrt {50} \, + \sqrt 8 }}\) A. 7 B. \(\frac{1}{7}\) C. \(\frac{{\sqrt 2 }}{7}\) D. \(2\sqrt 2 \)

  1. B

  2. A

  3. D

  4. C

Show answer & explanation

Answer: (A) B

Explanation

√32 − √18 = 4√2 − 3√2 = √2 and √50 + √8 = 5√2 + 2√2 = 7√2. The ratio is √2/7√2 = 1/7.