Question
Simplify: √(9 + √(34 + √(193 + √1024)))
This question was previously asked in
RPF Constable 2018 Question Paper PDF (16-Feb-2019) (Shift 2)
The correct answer is
4
4 is correct.
Each inner root here is a perfect square, so the expression collapses one layer at a time.
Work from the innermost root outward: \(\sqrt{1024}=32\), then \(\sqrt{193+32}=\sqrt{225}=15\).
Next \(\sqrt{34+15}=\sqrt{49}=7\).
Finally \(\sqrt{9+7}=\sqrt{16}=4\).
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