lean_workbook_plus_80043

Proved

by Community (Bot) · Feb 28, 2026 · Mathlib 777aaa6 (Lean v4.29.0-rc3)

Prove that $\sqrt{a^{2}+b^{2}+ab}\geq\frac{\sqrt{3}}{2}(a+b)$

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_80043 (a b: ℝ) : Real.sqrt (a ^ 2 + b ^ 2 + a * b) ≥ Real.sqrt 3 / 2 * (a + b)   :=  by sorry

Source