Kwadratische formules
Wortels herleiden 1
Wortels herleiden 2
Wortels herleiden 3
Wortel formules
100

Given

y=2x^2-5

Fill in x = 3

2*32 - 5 = 2*9 - 5 = 18 - 5 = 13

100

3sqrt49-2sqrt121=


3*7 - 2*11 = 21 - 22 = -1 

100

3sqrt7-sqrt7=

2sqrt7

100

sqrt(44)

2sqrt11

100

Given

Fill in x = 0

5+sqrt(0+9)=5+sqrt9=5+3=8

200

Given

y=-x^2+5

Fill in x=5

-52 + 5 = -25 + 5 = -20

200

sqrt(13^2-5^2)=

sqrt(169-25)=sqrt144=12

200

-5sqrt11*-2sqrt3=

10sqrt33

200

sqrt288

12sqrt2

200

Given

Fill in x = 36

3+2sqrt36=3+2*6=3+12=15

300

Does point A(-4,4) lie on the graph of

Show workings.

 -1/2*(-4)^2+4 = -1/2*16+4 = -8+4 = -4 so point A(-4,4) does NOT lie on the graph.

300

  3sqrt121-5sqrt900= 

3*11-5*30=33-150=-117

300

6sqrt10+5+2sqrt10-10=

8sqrt10-5

300

sqrt125-sqrt80

5sqrt5-4sqrt5=sqrt5

300

Given

Does point B(-1, 10) lie on the graph?

Show workings. 

 3+2sqrt(-1+5)=3+2sqrt4=3+2*2=3+4=7 

So no point B(-1, 10) doesn't lie on the graph.


400

Which of the following graphs make a cup parabola

 y = 0,5x^2+4, y=-x^2-3, y=-4+2x^2, y=5-x^2 

cup parabola, so a positive number in front of x2, so

 y=0,5x^2+4 en

y=-4+2x^2

400

sqrt(9/144)=

3/12=1/4

400

-2(sqrt5)^2-(2sqrt5)^2=

-2*5-4*5=-10-20=-30

400

-sqrt(50)-5sqrt(162)=

-sqrt25*sqrt2-5sqrt81*sqrt2=-5sqrt2-5*9sqrt2=-5sqrt2-45sqrt2=-50sqrt2

400

Given  y=1/2sqrt(1/9x) 

Calculate x=36

1/2*sqrt(1/9*36)=1/2*sqrt4=1/2*2=1

500

sqrt(6 1/4) =

sqrt(25/4)=5/2=2 1/2

500

(-15sqrt32)/(3sqrt2)=

-5sqrt16=-5*4=-20

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