Struggling to simplify radicals? This video teaches you my favorite, most effective technique for simplifying square roots and cube roots using prime factorization trees! Say goodbye to guessing perfect squares and cubes – this method makes it easy and clear. In this tutorial, you will learn: What is Simplifying Radicals? Understanding why we simplify and what it means to pull out perfect squares/cubes. Prime Factorization Tree Technique: A step-by-step method to break down any number into its prime factors. Simplifying Square Roots: How to identify pairs of prime factors to pull out perfect squares. Simplifying Cube Roots: How to identify groups of three identical prime factors to pull out perfect cubes. Handling Coefficients: What to do when there's a number already in front of the radical. Simplifying Large Numbers: How the prime factorization tree makes simplifying large numbers manageable. Negative Radicands (Cube Roots): How to handle negative numbers inside a cube root. We'll work through seven detailed examples together, ensuring you gain confidence in simplifying all types of radicals. This video is perfect for algebra students! Timestamps: 0:00 - Introduction to Simplifying Radicals (Square Roots & Cube Roots) 0:30 - What is Simplifying Radicals? (Square Root of 320) 0:55 - Prime Factorization Tree Technique Explained 2:20 - Example 1: Simplifying Square Root of 320 3:50 - How to Check Your Work 4:15 - Example 2: Simplifying Square Root of 768 (Large Number) 5:00 - Step-by-Step Prime Factorization for 768 6:30 - Identifying Pairs and Simplifying for Example 2 7:30 - Comparing with Traditional Methods 8:00 - Example 3: Simplifying Square Root of 108 with a Coefficient 8:30 - Prime Factorization for 108 9:15 - Handling the Coefficient in Front of the Radical 9:50 - Example 4: Simplifying -3 times Square Root of 500 10:15 - Prime Factorization for 500 (Alternative Stopping Point) 11:10 - Final Simplification for Example 4 11:40 - Example 5: Simplifying Cube Root of 192 12:00 - Prime Factorization for 192 (for Cube Roots) 12:40 - Identifying Groups of Three for Cube Roots 13:20 - Comparing Cube Root Simplification with Traditional Methods 14:10 - Example 6: Simplifying 4 times Cube Root of 400 14:30 - Prime Factorization for 400 15:20 - Final Simplification for Example 6 16:00 - Channel Membership Information 17:20 - Example 7: Simplifying Cube Root of -324 (Negative Radicand) 17:40 - Handling Negative Numbers in Odd Roots 18:20 - Prime Factorization for 324 19:00 - Final Simplification for Example 7 19:30 - Complete Guide to Radicals Video Link Don't forget to like, comment, and subscribe for more algebra tutorials! #SimplifyingRadicals #SquareRoots #CubeRoots #PrimeFactorization #AlgebraHelp #MathTutorial #RadicalsExplained #FactorTree Learn More with My Complete Guide to Working with Radicals: ➡️JOIN the channel as a CHANNEL MEMBER at the "ADDITIONAL VIDEOS" level to get access to my math video courses(Algebra 1, Algebra 2/College Algebra, Geometry, PreCalculus), midterm & final exam reviews, ACT and SAT prep videos and more! (Over 390+ videos)