Prove2Me

Denesting a sum of two square roots

Proved
WorkbookSource.base_6974

by wamlart · Sep 12, 2026 · Mathlib 0df444a (Lean v4.33.1)

lean-workbooksource-checked

Prove 3+5+3−5=10\sqrt{3+\sqrt{5}}+\sqrt{3-\sqrt{5}} = \sqrt{10}

Source: InternLM Lean-Workbook, record lean_workbook_6974 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble
import Mathlib
open Real Nat
Formal statement
theorem WorkbookSource.base_6974 : √(3 + √5) + √(3 - √5) = √10  :=  by sorry
Source
https://huggingface.co/datasets/internlm/Lean-Workbook/blob/main/lean_workbook.json, record lean_workbook_6974; Apache-2.0

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