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Harvard Entrance Exam || Simplify [ sqrt(2)−1]^12 without any calculator || Math Olympiad Problem

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Harvard Entrance Exam || Simplify [ sqrt(2)−1]^12 without any calculator || Math Olympiad Problem
#olympiadpreparation #challengingmathproblems #mathchallenge
#maths #mathstricks #mathematics
Welcome to Olympiad Math Explorers! In this video, we tackle a challenging algebraic simplification from a Harvard University entrance exam. We will Simplify [ sqrt(2)−1]^12 without any calculator step-by-step without using a calculator, demonstrating clever mathematical techniques to solve complex expressions.
In this tutorial, we will:
Break down the expression and simplify it using algebraic methods.
Use binomial expansion and approximation techniques for higher powers.
Develop a deeper understanding of advanced algebra and problem-solving.
This video is perfect for students preparing for prestigious university entrance exams, Math Olympiads, or anyone looking to strengthen their algebra skills with advanced problems.
👨🏫 Who is this video for?
Students preparing for university entrance exams (like Harvard, MIT, etc.).
Math Olympiad participants.
Advanced algebra learners.
Anyone interested in simplifying complex expressions.
🎯 Related Videos:
Simplifying Radical Expressions.
Harvard University Entrance Exam Problems.
Math Olympiad Algebra Problems Solved.
📢 Subscribe to Olympiad Math Explorers for more advanced tutorials and problem-solving strategies!
#olympiadpreparation #challengingmathproblems #mathchallenge
#maths #mathstricks #mathematics
Welcome to Olympiad Math Explorers! In this video, we tackle a challenging algebraic simplification from a Harvard University entrance exam. We will Simplify [ sqrt(2)−1]^12 without any calculator step-by-step without using a calculator, demonstrating clever mathematical techniques to solve complex expressions.
In this tutorial, we will:
Break down the expression and simplify it using algebraic methods.
Use binomial expansion and approximation techniques for higher powers.
Develop a deeper understanding of advanced algebra and problem-solving.
This video is perfect for students preparing for prestigious university entrance exams, Math Olympiads, or anyone looking to strengthen their algebra skills with advanced problems.
👨🏫 Who is this video for?
Students preparing for university entrance exams (like Harvard, MIT, etc.).
Math Olympiad participants.
Advanced algebra learners.
Anyone interested in simplifying complex expressions.
🎯 Related Videos:
Simplifying Radical Expressions.
Harvard University Entrance Exam Problems.
Math Olympiad Algebra Problems Solved.
📢 Subscribe to Olympiad Math Explorers for more advanced tutorials and problem-solving strategies!
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