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TRANSCRIPT
Geometry/Trig Name: __________________________________
Date: ___________________________________
Lesson 4-1: Radicals
Learning Goals: (1) How do we calculate perimeter of familiar polygons? (2) How do we simplify radical expressions?
Simplifying Radicals
1st: Watch Me Simplify:
1. √18 2. 2 √216
2nd: Partner Work
Using the steps and guided example below, simplify the following radical: √72
Note! When we say
“radical” it means
“square root”!
Geometry/Trig Quick Summary:
1. When you find a pair of numbers under the radical, how many go in front of the radical symbol?
2. What do you do with all of the numbers on the outside/in front of the radical symbol? What about the inside?
*Example:
3rd: You try on your own!
Put the following in simplest radical form: 𝟑√𝟑𝟐.
Use the steps we just looked at to help guide you!
Think-Pair-Share in your Group:
Is the following equation true or false? How can you check?
√ 5 + √5 = √10
Geometry/Trig
Radical Operations
ADDING RADICALS
Look at the following equations. What do you notice about the numbers under the radical in the original
problem and the final answer?
Example 1) Example 2)
585652 242723
You try: 2623 = ________________
Operation Helpful Hints Examples
Addition For these you must have “like terms”. That
means the number under the radicals must
be the same in order to combine them. If
they aren’t the same, try simplifying!
Example
5√7 + 13√7 =18√7
Subtraction
Non-Example
2√3 - √5 =2√3 - √5
(Can’t be simplified any farther)
Together! On Your Own!
5√8 + 3√18 √24 + √54
Geometry/Trig PRACTICE
6 - 6 8 + 18
3 3 + 4 3 - 2 8 7 12 7
5 + 2 5 + 3 5
5 36 + 4 30
4 12 - 75
3 6 5 24
2√36 + √4 √16 + √54
Geometry/Trig Name: _________________________________
Date: _________________________
Lesson 1-1: Homework
Directions: Simplify the following expressions. Express each answer in
simplest radical form.
1. Simplify the following:
a) √50 b) √𝑥3
c) 4√27 d) √18𝑦2
e) 4 5 5 f) 10 11 24 11