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

Slide 1 - Diapositive

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 - Diapositive

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

Slide 3 - Diapositive

Above you see 3 more examples, of:

Slide 4 - Diapositive

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 - Diapositive

4[?]3
Write as one root:

Slide 6 - Carte mentale

Solution 1:
4[?]3=[?]16[?]3=[?]48

Slide 7 - Diapositive

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

Slide 8 - Diapositive

Write as one root:

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

Slide 9 - Quiz

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

Slide 10 - Diapositive

Slide 11 - Diapositive

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, indeed.

Slide 12 - Diapositive

Another example:

Slide 13 - Diapositive

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

Slide 14 - Diapositive

The 3 numbers are:

Slide 15 - Carte mentale

Solution task 3:


Fill in the 5 missing numbers in the next slide.
[?]24=[?]4[?]6=2[?]6

Slide 16 - Diapositive

Slide 17 - Diapositive

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

Slide 18 - Diapositive

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

Slide 19 - Quiz

Solution task 4:

Slide 20 - Diapositive

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

Slide 21 - Diapositive

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

Slide 22 - Quiz

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

Slide 23 - Diapositive

Slide 24 - Diapositive

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

Slide 25 - Diapositive

Solution task 6:

Slide 26 - Diapositive

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


Slide 27 - Diapositive

Solution 7:

Slide 28 - Diapositive

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

Slide 29 - Diapositive

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

Slide 30 - Diapositive

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

Slide 31 - Diapositive

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

Slide 32 - Diapositive