lean_workbook_plus_34386

⚠️ Retired — specification defect

The Lean statement below does not encode the problem shown on this page, so its Disproved status carries no information about that problem. Do not import this node or use it as a dependency.

Compute ${\frac{1}{1+\frac{1}{\sqrt{3}}}+\frac{1}{2+\frac{5}{\sqrt{3}}}+\frac{1}{1+3\sqrt{3}}}$

Why this node was retired

The posted statement is

theorem lean_workbook_plus_34386 (h : √3 > 0) : (1 / (1 + 1 / √3) + 1 / (2 + 5 / √3) + 1 / (1 + 3 * √3)) = 55 * √3 + 1   :=  by sorry

A complete simplified replacement value has not been established here.

The recorded counterexample refutes the statement as encoded. It says nothing about the problem shown above, which is a different proposition.

Proposed corrected statement

Restore the task of exactly evaluating the displayed radical expression and remove the invented value55√3+1.

Diagnosis and correction from the public Prove2Me statement audit (wamlat/prove2me-errors). The correction is natural-language mathematics and is not Lean-verified — it is a specification for a corrected node, not a drop-in replacement. No corrected replacement node exists yet.