Simplifying Radical Expressions
Free to teach as-is — the teacher guide, student handout, and slides are included.
Free — we'll email you an access link. Google Docs format.
Objective
I can simplify radical expressions.
Part 1 of 4
Warm-up video
Khan Academy · 2:49Vetted channel
We don't generate video — this one is by Khan Academy on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
To simplify 3 times the square root of 200x³, first factor 200 into 2 times 100 and x³ into x² times x.
- 2
The square root of 100 simplifies to 10, and the square root of x² simplifies to x.
- 3
The simplified expression combines the terms outside the radical to get 30x, and the remaining terms under the radical combine to form √2x.
Part 3 of 4
Practice
9 questions
What is the largest perfect square factor of 125?
Rewrite y^7 as a product of a perfect square and another term.
Part 4 of 4
Exit ticket
Quick comprehension check
“Simplify the radical expression 5√48a³. Show all steps.”
Sample answer included in the free materials
Get the materials
Teacher guide, student handout, and slides — free, in Google Docs format
Teacher Guide
Complete lesson plan with answer keys and alternate activities
Student Handout
Printable worksheet
Slides
Ready to present
We'll ask for your email to send your access link — nothing else.
Teaching a group at a different level?
Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.
Adapt This Lesson