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squares & cubes. & square roots / cube roots.

Total questions: 15

Worksheet time: 45mins

Name
Class
Date
1.

Which is the best approximation for 

 52\sqrt{52}  ?

a)

6.5

b)

7.2

c)

7.8

d)

8.2

2.

Which is the best approximation for 

 −24-\sqrt{24}  ?

a)

-5.1

b)

-4.8

c)

-4.5

d)

4.5

e)

4.8

3.

Which is the best approximation for 

 172\sqrt{172}  ?

a)

14.1 

b)

12.5 

c)

13.5 

d)

13.1

e)

12.9 

4.

Select all true statements. 

a)

 ±81= 9 & −9 \pm\sqrt{81}=\ 9\ \&\ -9\   

b)

 −81=−9-\sqrt{81}=-9  

c)

 −81=−9\sqrt{-81}=-9  

d)

 −83​=−2\sqrt[3]{-8}​=-2  

e)

 83​=−2 & 2 \sqrt[3]{8}​=-2\ \&\ 2\   

5.

 549+255\sqrt{49}+\sqrt{25}  

Evaluate.



(a)  

6.

 13\sqrt[3]{1}  

a)

1

b)

1 and -1 

c)

3 

d)

-1

e)

not possible >:-( 

7.

 −13\sqrt[3]{-1}  

a)

1

b)

1 and -1 

c)

3 

d)

-1

e)

not possible >:-( 

8.

 13213^2  

Evaluate



(a)  

9.

 424^2  

Evaluate



(a)  

10.

 434^3  

Evaluate



(a)  

11.

Evaluate 1253\sqrt[3]{125}  

(a)  

12.

Evaluate 80003\sqrt[3]{8000}  

a)

2

b)

20

c)

200

d)

24

13.

Which statement is true?

a)

 −13≥1 \sqrt[3]{-1}\ge\sqrt{1}\   

b)

 1253<25\sqrt[3]{125}<\sqrt{25}  

c)

 25< 273\sqrt{25}<\ \sqrt[3]{27}  

d)

 16 >273\sqrt{16\ }>\sqrt[3]{27}  

14.

 (100)2\left(\sqrt{100}\right)^2  

Evaluate



(a)  

15.

 (25)3\left(\sqrt{25}\right)^3  

Evaluate



(a)