## Simplifying Roots

Summary
The essence of simplifying square roots for the GRE exam involves breaking down the root into its prime factors or identifying the largest perfect-square factor to simplify the expression into a form that is recognizable among the answer choices.
• Understanding how to simplify square roots is crucial for solving GRE problems, as answers are presented in their simplest form.
• Roots distribute over multiplication, allowing the separation of a root of products into a product of roots, facilitating simplification.
• Knowing the square roots of the first 15 perfect squares is beneficial for quick simplification.
• The process involves expressing the number under the radical as the product of a perfect square times another number, then simplifying.
• For particularly large numbers, it may be necessary to factor out the largest squares or find the full prime factorization to simplify the expression fully.
• Practice problems demonstrate the application of these strategies to simplify square roots effectively for the GRE exam.
Chapters
00:00
Introduction to Simplifying Roots
00:39
The Process of Simplification
04:41
Applying Simplification to GRE Problems
05:29
Practice Problem and Summary