1. Lesson 5 Roots Lesson 6 Estimate Roots
Chapter 1 Real Numbers
Lesson 5 Roots
Lesson 6 Estimate Roots

2. Lesson 5 Roots Lesson 6 Estimate Roots
Chapter 1 Real Numbers
Lesson 5 Roots
Lesson 6 Estimate Roots

3. Vocabulary
Square root
Perfect square
Radical sign

5. Example 1 – What do you notice. What questions do you have
Example 1 – What do you notice? What questions do you have? What do you need to know?
49 64
± 1.21
225 − 81 −400

6. Try These ±
− 2.56
16 − 484 −36

7. Example 2 – What do you notice. What questions do you have
Example 2 – What do you notice? What questions do you have? What do you need to know?
169= 𝑎 2
𝑥 2 = 9 49

8. Try These
𝑣 2 =81
𝑔 2 =

9. Example 1 – What do you notice. What questions do you have
Example 1 – What do you notice? What questions do you have? What do you need to know?

10. Try These

11. Roots I can determine square roots.
I can solve an equation involving a square root.
I can estimate square roots.

12. `
Order from least to greatest , 7, 5, 38

13. Roots
A square root of a number is one of its two equal factors. Every positive number has both a positive and a negative square root. A positive square root is called the principal square root. In most real-world situations, only the positive square root is considered.

14. Roots
A radical sign, , is used to indicate the principal square root. If 𝑛 2 =𝑎, then 𝑛= ± 𝑎 .

15. Estimate Roots
The square root of a number that is not a perfect square is not a rational number. It is an irrational number, because it cannot be expressed as the ratio of two integers.