Master This "Impossible" Olympiad Surd Equation!. #mathsolympiad #SAT

https://www.youtube.com/channel/UCCWnwkD7t71d… Solve (√3+√2)^x + (√3-√2)^x = 10 . The Conjugate Surds Trick (Olympiad, SAT, WAEC) Stuck on equations involving conjugate surds raised to a power? This lesson tackles a genuinely tricky problem , (√3 + √2)^x + (√3 - √2)^x = 10 , using a hidden substitution trick that most students never find on their own, but which makes the solution fast and clear once you see it. It's exactly the kind of question that appears in WAEC, JAMB, Math Olympiad, and SAT-style exams to separate students who memorise formulas from those who truly understand surds. This tutorial is built for SS2–SS3 students preparing for WAEC and JAMB, Year 11–13 students strengthening algebra for GCSE, IGCSE, or A-Level, and any maths enthusiast who enjoys a real challenge. We walk through the properties of conjugate surds, apply a substitution hack to turn the equation into a solvable quadratic, and explain every step so the logic sticks, not just the answer. By th