Can You Simplify This Nested Radical Expression? скачать в хорошем качестве

Can You Simplify This Nested Radical Expression?

Can you calculate √(1 + 3/√12) without a calculator? Simplify: √(1 + 3/√12) = ? This problem features a nested radical with a fraction inside! There's a brilliant simplification technique. The key is first simplifying √12 = 2√3, so 3/√12 = 3/(2√3). Rationalizing gives √3/2. Then √(1 + √3/2) = √((2 + √3)/2). Using denesting or recognizing this as a perfect form like √((√a + √b)/2), you can find the clean answer. 💡 Pause and try solving it before watching! This problem teaches you: ✓ Nested radical simplification ✓ Rationalization techniques ✓ Denesting radical methods ✓ Fraction manipulation with surds ✓ Strategic simplification steps Perfect for students preparing for: • Math Olympiads (IMO, AMC, AIME) • Competition mathematics • Algebra II courses • Anyone who loves radical simplification! The answer is surprisingly clean once you simplify systematically! 👍 Like if you simplified it! 💬 Share your approach in the comments 🔔 Subscribe for more Olympiad problems #matholympiad #mathematics #algebra #nestedradicals #rationalization #surds #denesting #simplification #problemsolving #mathchallenge #competitionmath #mathpuzzle #stem #algebraII