lean_workbook_plus_14770

Proved

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

The square root of a negative number squared is the absolute value of that number. Simplify $\\sqrt{(-2)^2}$ .

Preamble

import Mathlib.Analysis.Complex.Basic

Formal statement

theorem lean_workbook_plus_14770 : √((-2 : ℝ) ^ 2) = |(-2 : ℝ)|   :=  by sorry

Source