Question
Download Solution PDFEvaluate: \(\sqrt{(3+\sqrt{(32+\sqrt{(8+\sqrt{(57+\sqrt{(49)}})}}}))\)
This question was previously asked in
RPF Constable 2024 Official Paper (Held On 03 Mar, 2025 Shift 1)
Answer (Detailed Solution Below)
Option 3 : 3
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Detailed Solution
Download Solution PDFGiven:
\(\sqrt{(3+\sqrt{(32+\sqrt{(8+\sqrt{(57+\sqrt{(49)}})}}}))\)
Formula used:
We will start evaluating from the innermost square root.
Calculation:
\(\sqrt{(49)} = 7 \)
⇒ \(\sqrt{(57+7)} = \sqrt{64} = 8 \)
⇒ \(\sqrt{(8+8)} = \sqrt{16} = 4\)
⇒ \(\sqrt{(32+4)} = \sqrt{36} = 6\)
⇒ \(\sqrt{(3+6)} = \sqrt{9} = 3 \)
∴ The correct answer is option (3).
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