2Tvwo § 3.4 Simplifying square roots '19'20

• Wiskunde
• Middelbare school
• havo, vwo
• Leerjaar 2

Before doing §3.4 Simplifying square roots,

we do exercise C6, p.103, of §3.3

Next slide

shows it to you

a bit bigger.

Make this task 

right now in your 

Notebook!

TIP:

1. Copy 

the Sketch

2. Fill in all the

lengths of the

sides and

3. Calculate the

AREA. 

Task:

Solution:     

§3.4 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!

√​50​​​

5√​2​​​

Let's talk business, as usual!

- open your Textbook and Notebook and

- Make exercise 26, p.105, §3.4   So:  skip 24 and 25 !

- Study the Theory on p.105

- still time left? Go on with 27, etcetera.

In 26 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:

                     =       

√​40​​​

√​40​​​

√​4​​​

√​10​​​

√​4​​​

√​40​​​

2√​10​​​

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

√​12​​​

√​12​​​

√​​​​

√​12​​​

1. 4 root 3
2. 6 root 2
3. 2 root 3
4. 3 root 2

Solution:

=                        x                  =  2  x               = 2             

√​12​​​

√​4​​​

√​3​​​

√​3​​​

√​3​​​

Make exercise 27 and 28 and after that ...

Study Method on p.106.

Still time left?

Go on with 29, 30 and 31.

Now we do 27 and 28 together!

First a real root joke.

Your teacher will ask some of you what to fill in here.

So you can check what you just made in your Notebook.

Let's tackle these in the same way!

Now we look back at this exercise, that you just tried to do.

32 is divisible by the square numbers:  1, 4  and  16.

Did you have it correct?

Let's find out together what had to be filled in here!

Did have this one good?

If not, do you now understand it?

Anyway, let's Study the Method on p.106 now!

Let's do one more together, 

to see if you understand it.

Simplify 

ANS

√​63​​​

√​63​​​

I simplify

Explanation:

                =             x          =    3       x             =  

You've just been doing 29a!

When doing 29b, c etcetera, don't skip any of the steps,

in order to avoid making mistakes. 

√​63​​​

√​9​​​

√​7​​​

√​7​​​

3√​7​​​

Homework

Do §3.4 ,  skipping 24 and 25.

Don't forget to CHECK your work with the famous Solutionsbook.

Send in your pictures.

HOMEWORK

Make and correct §3.4

(and anything from Refresh, §3.1, §3.2 and §3.3 you have not done yet)