सोडवा: \(\sqrt{(3+\sqrt{(32+\sqrt{(8+\sqrt{(57+\sqrt{(49)}})}}}))\)

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  1. 6
  2. 5
  3. 3
  4. 4

Answer (Detailed Solution Below)

Option 3 : 3
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दिलेले आहे:

\(\sqrt{(3+\sqrt{(32+\sqrt{(8+\sqrt{(57+\sqrt{(49)}})}}}))\)

वापरलेले सूत्र:

आपण आतील वर्गमूळापासून मूल्य काढण्यास सुरुवात करूया.

गणना:

\(\sqrt{(49)} = 7 \)

\(\sqrt{(57+7)} = \sqrt{64} = 8 \)

\(\sqrt{(8+8)} = \sqrt{16} = 4\)

\(\sqrt{(32+4)} = \sqrt{36} = 6\)

\(\sqrt{(3+6)} = \sqrt{9} = 3 \)

∴ पर्याय (3) योग्य आहे.

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