Can you solve this radical equation? Most fail!

In this math tutorial video we solve the radical equation 1/(√x+√(x-2)) + 1/(√x+√(x+2)) = 1/4 — an equation that looks genuinely intimidating with three different square root expressions spread across two denominators. The approach is clean and systematic. We start by rationalizing both fractions on the left hand side to eliminate the surd denominators, then simplify the resulting expression carefully. From there we isolate √(x+2), square both sides to remove the remaining radical, and solve directly for x. We finish by verifying the solution in the original equation to confirm it is valid and not extraneous. No guessing, no shortcuts — just a clean sequence of well-chosen algebraic moves that reduce a complex radical equation to something completely manageable. What you will learn: How to rationalize two surd denominators simultaneously and efficiently How to simplify the resulting expression after rationalization How to isolate √(x+2) strategically before squaring both sides How to square both sides correctly and solve for x How to check solutions and rule out extraneous roots This type of problem appears in math olympiad training, IB Mathematics Higher Level, A-Level Mathematics, college entrance examinations, and university precalculus courses. Rationalization of surd expressions is one of the most frequently tested skills in advanced high school and competitive mathematics. If you found this helpful, give it a thumbs up, share it with a fellow math lover, and subscribe for weekly videos on algebra, calculus, number theory, and olympiad problem solving. Don’t forget to like 👍, subscribe    / @nonsomaths  , and hit the notification bell for more math tips and tricks! #maths #algebra #matholympiad #MathTutorial #OlympiadMath #MathTricks #radicalequations #MathChallenge #education