A strict comparison between three square roots

Proved

WorkbookSource.base_44709

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

lean-workbooksource-checked

In brief, $\boxed{\sqrt{17}+\sqrt{10}>\sqrt{53}}$

Source: InternLM Lean-Workbook, record lean_workbook_44709 (Apache-2.0). Complete source proposition preserved; proof developed independently.

Preamble

import Mathlib
open Real Nat

Formal statement

theorem WorkbookSource.base_44709 : Real.sqrt 17 + Real.sqrt 10 > Real.sqrt 53  :=  by sorry

Source