Simplifying Radicals (I): Numerical Exercises

① This example demonstrates how to dynamically generate random radical expressions in GeoGebra for students to practice numerical simplification. ② Core math concepts include square roots, cube roots, rules for simplifying radicals (extracting perfect square/cube factors), and converting between radicals and integers/fractions. ③ Construction highlights: using commands such as Random, Sequence, Union, RandomElement to create random problem lists, SurdText to display radicals in standard mathematical notation, and interactive elements like a button (button1) and text boxes (text1, text2, text4) for generating problems and providing feedback; objects include variables a, b, c, d and lists list1, list2, list3. ④ Suitable for upper middle school or lower high school students for self-paced practice, as well as for teachers to demonstrate in class or assign randomized homework to reinforce radical simplification skills.