ABC26GN1336 · Square Roots and Cube Roots

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: · Marks: · Difficulty:

Evaluate $\sqrt{41-\sqrt{21+\sqrt{19-\sqrt{9}}}}$.
(a)3
(b)5
(c)6
(d)6.4
Answer
Answer (as printed): C
Explanation
Given exp. $$\begin{aligned} & =\sqrt{41-\sqrt{21+\sqrt{19-3}}} \\ & =\sqrt{41-\sqrt{21+\sqrt{16}}}=\sqrt{41-\sqrt{21+4}} \\ & =\sqrt{41-\sqrt{25}}=\sqrt{41-5}=\sqrt{36}=6 . \end{aligned}$$

Explanation as extracted from the printed page; notation may be imperfect.

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