1/11 - Simplifying Radicals Day 2

Do Now

7

Simplify each expression.

​1.

​2.

​3.

LO: SWBAT simplify numerical radical expressions
involving square roots.

DOL: Given a set of problems, students will
correctly simplify numerical radical expressions
involving square roots in at least 4 of 5 questions.

TEKS: A.11A

8

Today you will simplify numerical radical

expressions…

involving square roots.

11

Identifying Perfect Square

Perfect Square

3

3

_ x _ = 9

A perfect square
can be expressed
as the product of two identical integers.

3 3

3² = 9

20

Open Ended

Is 14 a perfect square? Justify your answer.

Make a list of the first 12 Perfect Squares

1² =

2² =

3² =

4² =

5² =

6² =

7² =

8² =

9² =

10² =

11² =

12² =

21

Multiple Select

Adam needs help identifying perfect squares. Which numbers are perfect squares? Select ALL that apply.

• 36

• 50

• 22

• 49

• 196

Simplify radicals by identifying the perfect square.

√2

√16

x

↓

Step 1: Rewrite 32 as the product of 16 and 2

Step 2: Split up into two square roots.

Step 3: Simplify the perfect square; 16.

24

Recap

​MATH
TIP

​Identify the LARGEST perfect square

Multiple Choice

Simplify the radical by identifying the perfect square.

$$\sqrt[]{80}$$

• $$8\ \sqrt[]{10}$$

• $$10\ \sqrt[]{8}$$

• $$4\ \sqrt[]{5}$$

• $$4\ \sqrt[]{10}$$

Multiple Choice

Simplify the radical by identifying the perfect square.

$$3\sqrt[]{128}$$

• $$3\ \sqrt[]{8}$$

• $$24\ \sqrt[]{2}$$

• $$6\ \sqrt[]{2}$$

• $$24\ \sqrt[]{8}$$

Compare the two methods

Simplify Square Roots

Find the perfect square

Use prime factorization

7.

27

Compare the two methods

Simplify Square Roots

Find the perfect square

Use prime factorization

Partner A

Partner B

8.

Image by PixLoger from Pixabay

28

Part A. What mistake did Rachelle make?

Multiple Choice

Which student simplified the radical correctly?

• Tommy is correct.

• Phil is correct.

• Both students are correct.

• Neither student is correct.

Multiple Choice

Which student simplified the radical correctly?

• Angelica is correct.

• Lillian is correct.

• Both students are correct.

• Neither student is correct.

Demonstration of Learning

DOL: Given a set of
problems, students
will correctly
simplify numerical
radical expressions
involving square
roots in at least 4 of
5 questions.

32

Open Ended

What are the 2 ways you can simplify a numerical radical expression?