Final answer:
Two real-life applications of irrational numbers are in architecture and engineering, and in financial modeling and analysis.
Step-by-step explanation:
Two real-life applications of irrational numbers are in architecture and engineering, specifically in the design of structures such as bridges and buildings.
Irrational numbers, such as π, are used to calculate the measurements and dimensions needed for construction.
Another application is in financial modeling and analysis, where irrational numbers are used to calculate complex equations in areas such as investment and risk management.