Simplifying Expression with Square Roots “√(50)” | Step-by-Step Algebra Solution - Math Doodle

Опубликовано: 21 Апрель 2026
на канале: Math Doodle - Algebra
229
2

This video will guide you through [How to Simplify Expression with Square Roots “√(50)”].

📌 How to Simplify a Square Root using the Product Property
✓ Step 1. Find the largest perfect square factor (4, 9, 16, 25, 36, 49…) of the radicand. Rewrite the radicand as a product using the perfect-square factor.
✓ Step 2. Use the product property [√(𝑎∙𝑏)=√(𝑎)∙√(𝑏)] to rewrite the radical as the product of two radicals.
✓ Step 3. Simplify the square root of the perfect square.

🔑 Key Things to Remember:
☞ Square Root ➜ √(𝑎^2) = 𝑎
☞ Product Property of Square Roots ➜ √(𝑎∙𝑏)=√(𝑎)∙√(𝑏)

〰️
✅ More BITE-SIZE VIDEOS on “Simplifying Expression with Square Roots”
➤ Simplify “√(500)”:    • Simplifying Expression with Square Roots “...  
➤ Simplify “√(𝑥^3)”:    • Simplifying Expression with Square Roots “...  
➤ Simplify “√(25𝑦^5)”:    • Simplifying Expression with Square Roots “...  
➤ Simplify “√(72𝑥^7)”:    • Simplifying Expression with Square Roots “...  
➤ Simplify “√(63 𝑥^3 𝑦^5)”:    • Simplifying Expression with Square Roots “...  
➤ Simplify “3+√32”:    • Simplifying Expression with Square Roots “...  
➤ Simplify “(4−√48)/2”:    • Video  

🗂 Playlist:“Simplifying Expressions with Square Roots” ➜    • Simplifying Expressions with Square Roots  
🗂 Playlist: “Adding and Subtracting Square Roots” ➜    • Adding and Subtracting Square Roots  
🗂 Playlist: “Multiplying Square Roots” ➜    • Multiplying Square Roots  

〰️
✏️ Need FREE MATH HELP? Check out our website on Roots and Radicals ➜ https://math-doodle.com/math-doodle-h...

〰️
▶️ Click Here to Subscribe to our Channel ➜    / @mathdoodle  

✍ Need to review Pre-Algebra topics? Check out our Pre-Algebra channel ➜    / @mathdoodle-pre-algebra463  

〰️
📖 About Math Doodle: This channel is our effort to support students, teachers, and parents by sharing our tutorial and problem-walkthrough contents that cover a wide range of algebra topics!

🌐 Website: https://math-doodle.com/
📧 E-mail: [email protected]

Hopefully, you have found the math help you were looking for! 🙏 Thank you for checking out our videos! 💯

〰️
🌏 Translated titles and subtitles have been added to this video:
Spanish: Simplificando expresiones con raíces cuadradas “√(50)” | Solución de álgebra paso a paso
French: Simplifier l'expression avec des racines carrées “√(50)” | Solution d'algèbre étape par étape
German: Ausdruck mit Quadratwurzeln vereinfachen “√(50)” | Schritt-für-Schritt-Algebra-Lösung
Portuguese: Simplificando Expressões com Raízes Quadradas “√(50)” | Solução álgebra passo a passo
Hindi: वर्गमूल के साथ सरलीकृत अभिव्यक्ति “√(50)” | चरण-दर-चरण बीजगणित समाधान
Filipino: Pinapasimple ang Expression na may Square Roots “√(50)” | Step-by-Step na Algebra Solution
Indonesian: Menyederhanakan Ekspresi dengan Akar Kuadrat “√(50)” | Solusi Aljabar Langkah-demi-Langkah
Japanese: 平方根による式の単純化 “√(50)” | ステップバイステップの代数ソリューション
Russian: Упрощение выражения с квадратными корнями “√(50)” | Пошаговое решение по алгебре
Vietnamese: Rút gọn Biểu thức với Căn bậc hai “√(50)” | Giải pháp đại số từng bước