√(7 + √45) = ? | Surprising Trick to Simplify Nested Radicals
Автор: Number & Nature
Загружено: 2025-12-17
Просмотров: 287
Struggling with nested radicals? In this video, we simplify √(7 + √45) step-by-step. You'll learn a powerful technique to break down expressions with a square root inside a square root into a much simpler form. The key is to express √(7 + √45) as √x + √y, then solve for x and y.
We’ll show you:
1️⃣ How to rewrite √45 in its simplest form to spot the pattern.
2️⃣ The standard method for simplifying √(a + √b) using a simple system of equations.
3️⃣ How to verify your final, elegant result: (√10 + 3√2)/2.
This trick is essential for algebra, competitive exams, and anyone looking to strengthen their math skills. Try it before watching the solution, and let me know in the comments if you got it right!
#maths #mathsolympiad #algebra #education #mathstricks #mathematics #mathkeeda #olimpiadasmatematicas
#radicals #radha
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