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

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

Vocabulary Square root Perfect square Radical sign

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

Try These ± 49 81 − 2.56 16 − 484 −36

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

Try These 𝑣 2 =81 𝑔 2 = 64 100

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? 35 170 44.8

Try These 23 197 15.6

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

` Order from least to greatest. 20 , 7, 5, 38

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.

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

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.