import Mathlib

set_option maxHeartbeats 0

open BigOperators Real Nat Topology Rat

theorem amc12b_2020_p13 :
  Real.sqrt (Real.log 6 / Real.log 2 + Real.log 6 / Real.log 3) = Real.sqrt (Real.log 3 / Real.log 2) + Real.sqrt (Real.log 2 / Real.log 3) := by sorry