Nested square roots simplification

CMAT 2018 · Quantitative Techniques & Data Interpretation · Easy · Algebra

188+51+169=?\sqrt{188 + \sqrt{51 + \sqrt{169}}} = ?

  1. A.

    16.4

  2. B.

    14.4

  3. C.

    16

  4. D.

    14

Answer

D

Explanation

Step by step simplification from inner square root:

  1. 169=13\sqrt{169} = 13
  2. 51+13=64=8\sqrt{51 + 13} = \sqrt{64} = 8
  3. 188+8=196=14\sqrt{188 + 8} = \sqrt{196} = 14.

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