Simplifying square roots (t2a)

Simplifying square roots

February 4th, 2022

t2a

8:30

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1 / 20

Slide 1: Tekstslide

WiskundeMiddelbare schoolvwoLeerjaar 1

In deze les zitten 20 slides, met interactieve quizzen en tekstslides.

Lesduur is: 60 min

Onderdelen in deze les

Simplifying square roots

February 4th, 2022

t2a

8:30

Go to lessonup.com and fill in the code below!

Slide 1 - Tekstslide

Schedule

Announcements 5 min
Review: square roots 10 min
Simplifying square roots 15 min
Practice 30 min

Slide 2 - Tekstslide

Review question 1:
A square field of grass has an area of

.
What is the length of one of the sides?

400

m^{​ 2 ​ ​}

200 m

100 m

20 m

It's impossible to tell

Slide 3 - Quizvraag

Review question 2:
A square field of grass has an area of

.
What is the length of one of the sides?

50

m^{​ 2 ​ ​}

7.07 m

12.5 m

25 m

It's impossible to tell

Slide 4 - Quizvraag

Review question 3:
Solve.

2 (\sqrt ​ 400 ​ ​ ​ - \sqrt ​ 49 ​ ​ ​)

1.8

698

Slide 5 - Quizvraag

Review question 4:
Solve.

(\sqrt ​ 9 ​ ​ ​)^{​ 2 ​ ​}

Cannot be simplified

Slide 6 - Quizvraag

Review question 5:
Simplify.

(3 \sqrt ​ 7 ​ ​ ​)^{​ 2 ​ ​}

23.8

147

Slide 7 - Quizvraag

Intended Learning Outcomes

At the end of the lesson you can...

Calculate squares of square roots
Multiply and add square roots
Simplify square roots by factorizing

Slide 8 - Tekstslide

Intended Learning Outcomes

At the end of the lesson you can...

Calculate squares of square roots
Multiply and add square roots
Simplify square roots by factorizing

Make notes!!!

Slide 9 - Tekstslide

Squares of square roots

(3 \sqrt ​ 7 ​ ​ ​)^{​ 2 ​ ​}

(5 \sqrt ​ 2 ​ ​ ​)^{​ 2 ​ ​}

7 (\sqrt ​ 8 ​ ​ ​)^{​ 2 ​ ​}

Slide 10 - Tekstslide

Adding square roots

Letters

Square roots

Slide 11 - Tekstslide

Adding square roots

Rule for adding square roots:

Just as with letters, only add like roots, otherwise not possible!

Letters

Square roots

Slide 12 - Tekstslide

Simplify.

5 \sqrt ​ 5 ​ ​ ​ + 3 \sqrt ​ 7 ​ ​ ​

8 \sqrt ​ 12 ​ ​ ​

8 \sqrt ​ 35 ​ ​ ​

15 \sqrt ​ 12 ​ ​ ​

Cannot be simplified

Slide 13 - Quizvraag

Simplify.

5 \sqrt ​ 7 ​ ​ ​ - 9 \sqrt ​ 7 ​ ​ ​

4 \sqrt ​ 7 ​ ​ ​

-28

- 4 \sqrt ​ 7 ​ ​ ​

Cannot be simplified

Slide 14 - Quizvraag

Multiplying square roots

5 \sqrt ​ 2 ​ ​ ​ \cdot \sqrt ​ 7 ​ ​ ​

3 \sqrt ​ 5 ​ ​ ​ \cdot 4 \sqrt ​ 10 ​ ​ ​

8 \sqrt ​ 2 ​ ​ ​ \cdot 2 \sqrt ​ 8 ​ ​ ​

Slide 15 - Tekstslide

Simplify.

3 \sqrt ​ 3 ​ ​ ​ \cdot 2 \sqrt ​ 24 ​ ​ ​

5 \sqrt ​ 27 ​ ​ ​

5 \sqrt ​ 72 ​ ​ ​

6 \sqrt ​ 27 ​ ​ ​

6 \sqrt ​ 72 ​ ​ ​

Slide 16 - Quizvraag

Factorizing square roots

3 \sqrt ​ 5 ​ ​ ​ \cdot 4 \sqrt ​ 10 ​ ​ ​

3 \sqrt ​ 3 ​ ​ ​ \cdot 2 \sqrt ​ 24 ​ ​ ​

Slide 17 - Tekstslide

Simplify and factorize. Take your time!

3 \sqrt ​ 3 ​ ​ ​ \cdot 2 \sqrt ​ 24 ​ ​ ​

36 \sqrt ​ 2 ​ ​ ​

2 \sqrt ​ 36 ​ ​ ​

12

6 \sqrt ​ 2 ​ ​ ​

Slide 18 - Quizvraag

Practice

(squaring square roots)

(adding & multiplying square roots)

(factorizing square roots)

Advanced route

34, 37, 38, 39

41, 44, 45

Basic route

30def, 31abc

35, 36, 37, 38

42, 43, 44

Slide 19 - Tekstslide

Simplify and factorize. Take your time!

2 \sqrt ​ 6 ​ ​ ​ \cdot \sqrt ​ 27 ​ ​ ​

18

9 \sqrt ​ 2 ​ ​ ​

18 \sqrt ​ 2 ​ ​ ​

9 \sqrt ​ 3 ​ ​ ​

Slide 20 - Quizvraag

Simplifying square roots (t2a)

Onderdelen in deze les

Slide 1 - Tekstslide

Slide 2 - Tekstslide

Slide 3 - Quizvraag

Slide 4 - Quizvraag

Slide 5 - Quizvraag

Slide 6 - Quizvraag

Slide 7 - Quizvraag

Slide 8 - Tekstslide

Slide 9 - Tekstslide

Slide 10 - Tekstslide

Slide 11 - Tekstslide

Slide 12 - Tekstslide

Slide 13 - Quizvraag

Slide 14 - Quizvraag

Slide 15 - Tekstslide

Slide 16 - Quizvraag

Slide 17 - Tekstslide

Slide 18 - Quizvraag

Slide 19 - Tekstslide

Slide 20 - Quizvraag

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