3Thavo §9.4 Calculating with square roots

§9.4 Calculating with square roots
 First a few slides to Refresh your memory.

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Slide 1: Tekstslide
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In deze les zitten 33 slides, met interactieve quizzen en tekstslides.

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§9.4 Calculating with square roots
 First a few slides to Refresh your memory.

Slide 1 - Tekstslide

In fact this is from 2nd Form.
But that was a long time ago ....
Repeating some basic knowledge about ROOTS takes some slides/time, that's true. But after this you will be
+ up to scratch with your roots again and
+ have an easier task doing §9.4, because we will practice a lot, too!

Slide 2 - Tekstslide

Above you see how the whole number '2' is changed into 
 and then multiplied by              .
The endresult is one single root!
[?]4
[?]3
4
3

Slide 3 - Tekstslide

Above you see 3 more examples, of:

Slide 4 - Tekstslide

TASK 1.   Now write as a single 
                square root yourself:
Key in your answer in the next slide.
If you cannot find the symbol for 'root', just write:
'root'!

Slide 5 - Tekstslide

4[?]3
43
Write as one root:

Slide 6 - Woordweb

Solution 1:
The point stands
for multiplying!
4[?]3=[?]16[?]3=[?]48
43
43=163=48

Slide 7 - Tekstslide

Task 2.   Write as one root:
Choose in the next slide between (remember your choice!):
A.                                 B. 
C.    21                         D.    
[?]21
[?]63
[?]147
63
147
21

Slide 8 - Tekstslide

Write as one root:

3[?]7
27
37
A
root 63
B
root 147
C
21
D
root 21

Slide 9 - Quizvraag

Solution task 2:
                                       =                         =
3[?]7=[?]9[?]7=[?]63
37
97
63

Slide 10 - Tekstslide

Slide 11 - Tekstslide

Above you see the reverse of what we have been doing!
We start with one root and end with
a product of a whole number and a root.
Awesome, is not it?

Slide 12 - Tekstslide

Another example:

Slide 13 - Tekstslide

Task 3.  Fill in the 3 numbers in the next slide! So no roots,
just the missing numbers.

Slide 14 - Tekstslide

The 3 numbers are:

Slide 15 - Woordweb

Solution task 3:
The missing numbers are:  
2, 2 and 6.
The complete calculation then is:
[?]24=[?]4[?]6=2[?]6
24=46=26=26

Slide 16 - Tekstslide

Slide 17 - Tekstslide

Task 4:
Simplify:
Key in the right answer in the next slide by choosing from:

A.                                B.
C.                                D.
[?]48
[?]6[?]8
6[?]8
8[?]6
4[?]3
48
86
43
68
68

Slide 18 - Tekstslide

Simplify:
[?]48
A
8 root 6
B
4 root 3
C
root 6 root 8
D
6 root 8

Slide 19 - Quizvraag

Solution task 4:

Slide 20 - Tekstslide

Task 5:
Simplify: 
Choose in the next slide from:
A.                                      B.
C.                                      D.
[?]243
9[?]3
3[?]9
81[?]3
3[?]81
234
243
39
381
813
93

Slide 21 - Tekstslide

Task 5: Simplify
[?]243
243
A
3 root 9
B
81 root 3
C
3 root 81
D
9 root 3

Slide 22 - Quizvraag

Solution task 5 - see above.
In this case the root-that-comes-out, 
was maybe hard to find.
Only by practicing this, it will become more easy to find. 
[?]81
81

Slide 23 - Tekstslide

Slide 24 - Tekstslide

Task 6:
Try to SIMPLIFY this:

Simplifying means that the endresult should be:  a number times  a root !
The NEW THING here is the letter p. In the answer it will again turn up as 
Solution in next slide.
[?]p
p

Slide 25 - Tekstslide

Solution task 6:

Slide 26 - Tekstslide

Task 7:
Simplify this expression (answer next slide).
Think about what SIMPLIFYING means! (Finding the highest root that comes out).


Slide 27 - Tekstslide

Solution 7:

Slide 28 - Tekstslide

Slide 29 - Tekstslide

In §9.4 you will need these basic rules for roots:

Slide 30 - Tekstslide

A few examples about the multiplying of roots first:
Every time you end with one root!

Slide 31 - Tekstslide

Now with dividing roots:
Again you finally have just one root!

Slide 32 - Tekstslide

Homework time
Do §9.4 and hand in pics of your work on GoogleClassroom.
Skip:
+ the introduction about areas
+ exercise 30

Slide 33 - Tekstslide