Lesson 41 — Radical Expressions

🎯 Goal

Simplify and manipulate radical expressions including variables.

📖 Lesson Description

• Simplify radicals: factor inside radical to pull perfect squares out
• Example: \( \sqrt{50} = \sqrt{25 \cdot 2} = 5\sqrt{2} \)
• Radicals with variables: \( \sqrt{18x^2} = \sqrt{9 \cdot 2 \cdot x^2} = 3x\sqrt{2} \)

✏️ Practice

1. Simplify \( \sqrt{72} \)
2. Simplify \( \sqrt{32x^2} \)
3. Simplify \( 2\sqrt{50y^2} \)