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Gr10 Lesson 3: Surds and integers

Total questions: 7

Worksheet time: 5mins

Name
Class
Date
1.

Estimate the value of 45\sqrt[]{45}

(Bepaal die waarde van 45\sqrt[]{45} )

a)

6<45<76<\sqrt[]{45}<7

b)

6>45>76>\sqrt[]{45}>7

c)

36<45<4936<\sqrt[]{45}<49

d)

44<45<4644<\sqrt[]{45}<46

2.

Estimate the value of 27\sqrt[]{27}

(Bepaal die waarde van 27\sqrt[]{27} )

a)

3 and (en) 4

b)

25 and (en) 36

c)

5 and (en) 6

d)

4 and (en) 5

3.

Estimate the value of 17−4\sqrt[]{17}-4

(Bepaal die waarde van 17−4\sqrt[]{17}-4 )

a)

0<17−4<10<\sqrt[]{17}-4<1

b)

0>17−4>10>\sqrt[]{17}-4>1

c)

1<17−4<01<\sqrt[]{17}-4<0

d)

1<17<01<\sqrt[]{17}<0

4.

Express  232\sqrt{3} as a square root of a positive integer.  

(Druk  232\sqrt{3} as 'n vierkantswortel van 'n heelgetal uit)  

a)

18\sqrt{18}  

b)

434\sqrt{3}  

c)

6\sqrt{6}  

d)

12\sqrt{12}  

5.

Is the number rational or irrational?
(Is die getal rasionaal of irrasioneel?)

a)

Rational
(rasionaal)

b)

Irrational
(irrasioneel)

6.

Any number that cannot be written as a fraction is called...
(Enige getal wat nie as 'n breuk geskryf kan word nie, word genoem...)

a)

Irrational
(Irrasioneel)

b)

Rational
(Rasioneel)

c)

Whole
(Heel)

7.

Is the number rational or irrational?
(Is die getal rasionaal of irrasioneel?)

a)

Rational
(rasionaal)

b)

Irrational
(irrasioneel)