1. Secondary 3 Essentials Clark
1.1 Simplifying Radicals
Secondary 3 Essentials
Clark

2. I can simplify radicals
Essential standard 1.1a
I can simplify radicals

3. radicals 5 3 =125 so 5 is a cube root of 125 , 3 125 =5
Radicals and powers are inverses- they undo each other.
Every power has a root that “undoes” it.
Ex: 5 2 =25 so 5 is a square root of 25, = 25 =5
5 3 =125 so 5 is a cube root of 125 , =5
5 4 =625 so 5 is a fourth root of 625, =5

4. radicals

5. Problem 1 What are the real square roots of:
A.) B.) C.) D.) E.) -49

6. Problem 2 What are the real cube roots of:
A.) B.) C.) D.) E.) -120

7. Problem 3 What are the real fourth roots of:
A.) B.) C.) D.) 240

8. radicals
From now on, unless specifically requested, we will only find the positive principal root.

9. Problem 4
Find the real roots.
A.) 3 −8 B.) 4 −1 C.) D.) −2 2

10. Problem 5
A.) B.) 4 −81 C.) 5 −32 D.)

11. Problem 6
Simplify each radical expression
A) 16 𝑥 B) 3 𝑎 4 𝑏 7
C) 4 𝑥 8 𝑦 11

12. Problem 7
Some teachers adjust test scores when a test is difficult. One teacher’s formula for adjusting scores is 𝑨=𝟏𝟎 𝑹 , where A is the adjusted score and R is the raw score.
On Test 1 the scores range from 36 to What is the range of the adjusted scores?
On Test 2 the scores range from 0 to What is the range of the adjusted scores?

13. I can simplify radicals
Essential standard 1.1a
I can simplify radicals