Discussion
The value of \(\sqrt{91 + \sqrt{70 + \sqrt{121}}}\) is
Answer: B
The value is 10.
Work from the innermost root outwards:
\[ \begin{aligned} \sqrt{121} &= 11 \\ \sqrt{70 + 11} &= \sqrt{81} = 9 \\ \sqrt{91 + 9} &= \sqrt{100} = 10 \end{aligned} \]
9 and 11 are the values of the inner roots, picked up by stopping too early, and 12 does not arise at any step.
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