In this 21-minute lesson, we go deep into solving radical equations — the clean way, the correct way, and the way that stops students from making the same mistakes over and over again. You’ll learn how to isolate radicals, how to eliminate them safely using powers, how to recognize different indexes (square, cube, fifth roots), how to convert between radical form and exponential form, and how to deal with equations that contain TWO radicals. We also talk about extraneous solutions and why radical equations can “lie” to you unless you check your final answers. Whether you’re studying Algebra 1, Algebra 2, precalculus, or preparing for international exams, this lesson breaks everything down step-by-step. TIMELINE 00:00 What a radical equation actually is 01:05 Reviewing radical notation and indexes 02:30 How to isolate a single radical 04:10 Eliminating radicals using powers 06:20 Solving equations with TWO radicals 09:15 When to rewrite radicals using fractional exponents 12:40 How different indexes (3rd root, 5th root) change the solving process 15:00 Checking for extraneous solutions 18:10 Full mixed practice walkthrough 20:10 Final summary and key takeaways HOMEWORK 1) √(4x – 3) = x + 1 2) ³√(2x + 5) – 1 = x 3) √(5x + 7) – √(x – 1) = 2 4) (x – 3)^(3/2) = 12 5) ⁵√(3x + 2) + 1 = x + 4 I’m Maryam — international school math teacher. I don’t sugar-coat algebra; I show you the tricks, the traps and how to win. 📧 For personalized practice, one-on-one tutoring, or extra question sets, contact me at maryam_nr71@ I work with students around the world to build confidence in algebra and beyond. #radicalequa­tions #algebrahelp #mathteacher #algebra2 #learnmath #mathpractice #studywithme #mathtutorial