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If sqrt(7 - sqrt(2 + sqrt(n))) = 1, what is the value of n?

 Jul 9, 2022
 #1
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\(\sqrt{7 - \sqrt{2 + \sqrt{n}}} = 1\)

\({7 - \sqrt{2 + \sqrt{n}}} = 1\)

\(\sqrt{2 + \sqrt{n}} = -6\)

\({2 + \sqrt{n}} = 36\)

\( \sqrt{n} = 34\)

\(n = \color{brown}\boxed{1,156}\)

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 Jul 9, 2022
 #2
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1156 probably

 Jul 9, 2022

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