A Beautiful Math Olympiad problem | √2x - √x = 2

Can you solve this tricky radical equation? In this video, we explored a Math Olympiad style problem: √2x - √x = 2. many students make the mistake of squaring both immediately, but there is a much elegant "symmetry trick" to find the value of x. Key steps in this video: 1. Factoring the radical expression. 2. Rationalizing the denominator using the conjugate (√2 + 1). 3. Solving for the final value of x. If you love math challenges from the IMO, AMC 8, or Harvard-MIT Math Tournament, subscribe for more daily problems! #math #matholympiad #algebra #education #mathematics #problem-solving #olympiad2025