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2TH §4.4 Simplifying square roots
Program for today
§4.4 Simplifying square roots
§4.4 Exercises 27, 28, 29, S30 and 31
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Slide 1:
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Wiskunde
Middelbare school
havo, vwo
Leerjaar 2
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Program for today
§4.4 Simplifying square roots
§4.4 Exercises 27, 28, 29, S30 and 31
Slide 1 - Diapositive
Before doing §4.4 Simplifying square roots,
we do exercise C6, p.139
Next slide
shows it to you
a bit bigger.
Make this task
right now in your
Notebook!
Slide 2 - Diapositive
TIP:
1. Copy
the Sketch
2. Fill in all the
lengths of the
sides and
3. Calculate the
AREA.
timer
3:00
Slide 3 - Diapositive
Task:
Solution:
Slide 4 - Diapositive
§4.4 Simplifying square roots
In this § you will learn how to write a square root as:
a multiplication of a whole number and a root, like
=
The reason why this is allowed and why it is useful, soon follows!
√
5
0
5
√
2
Slide 5 - Diapositive
Let's talk business, as usual!
- Open your Textbook and Notebook and
- Do §4.4 Exercise 27 (p.141)
- Study the Theory on p.140
- Still time left? Go on with 28, etcetera.
timer
5:00
Slide 6 - Diapositive
Slide 7 - Diapositive
In 27 you tried to write
as a multiplication of a whole number and a root.
This is how it is possible:
= x
= 2 and so we get the final form:
=
√
4
0
√
4
0
√
4
√
1
0
√
4
√
4
0
2
√
1
0
Slide 8 - Diapositive
You are going to learn this method by practising a lot!
How could we rewrite:
as a multiplication of a whole number and a root?
So write it in this shape: = .... x . .....
ANS
√
1
2
√
1
2
√
Slide 9 - Diapositive
√
1
2
A
4
√
3
B
6
√
2
C
2
√
3
D
3
√
2
Slide 10 - Quiz
Solution:
= x = 2 x = 2
√
1
2
√
4
√
3
√
3
√
3
Slide 11 - Diapositive
Slide 12 - Diapositive
Make exercise 28 and 29 and after that ...
Study Method on p.142.
Still time left?
Go on with S30 and 31.
timer
8:00
Slide 13 - Diapositive
Now we do 28 and 29 together!
First a real root joke.
Slide 14 - Diapositive
Slide 15 - Diapositive
Your teacher will ask some of you what to fill in here.
So you can check what you just made in your Notebook.
Slide 16 - Diapositive
Let's tackle these in the same way!
Slide 17 - Diapositive
Now we look back at this exercise, that you just tried to do.
32 is divisible by the square numbers:
4 and 16
4
x 8 = 32 and
16
x 2 = 32
Did you have it correct?
Slide 18 - Diapositive
Let's find out together what had to be filled in here!
4
x 8 = 32 and
16
x 2 = 32
16 is the bigger number so we will choose that one
Slide 19 - Diapositive
Slide 20 - Diapositive
Let's do one more together,
to see if you understand it.
Simplify
ANS
√
6
3
Slide 21 - Diapositive
√
6
3
I simplify
Slide 22 - Carte mentale
Explanation:
= x = 3 x =
√
6
3
√
9
√
7
√
7
3
√
7
Slide 23 - Diapositive
Homework
Do §4.4 Exercises 27, 28, 29, S30 and 31
Don't forget to CHECK your work with the fabulous
Solutions book.
Slide 24 - Diapositive
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