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📝 #7: Square Roots - Review

Total questions: 20

Worksheet time: 40mins

Name
Class
Date
1.

Which of the following is a perfect square?

a)

12

b)

81

c)

56

d)

99

2.

Which of the following is NOT a perfect square?

a)

36

b)

169

c)

125

d)

196

3.

 −576841-\sqrt{\frac{576}{841}}  



Find the square root(s) of the number above.

a)

 −24841-\frac{24}{841}  

b)

 2429\frac{24}{29}  

c)

 −2429-\frac{24}{29}  

d)

 −57629-\frac{576}{29}  

4.

 18.49\sqrt{18.49}  
Find the square root(s) of the above number.

a)

4.3

b)

21.16

c)

4.4

d)

4.6

5.

 ±3614\pm\sqrt{\frac{361}{4}}  



Find the square root(s) of the number above.

a)

 ±192\pm\frac{19}{2}  

b)

 ±3614\pm\frac{361}{4}  

c)

 ±194\pm\frac{19}{4}  

d)

 ±3612\pm\frac{361}{2}  

6.

 262\sqrt{262}  

When you take the square root of the number above, why do we just leave it as itself, rather than writing it a different way?

a)

because  262⋅262=68,644262\cdot262=68,644  and that is too large of a number to record.

b)

because 262 is NOT a perfect square, so the answer would be a messy decimal.

c)

because 262 is a perfect square, which means you leave it as it is.

d)

because  16.18⋅16.18=26216.18\cdot16.18=262  

7.

 ±3844\pm\sqrt{3844}  
Find the square root(s) of the number above.

a)

 −62-62  

b)

 6262  

c)

 ±62\pm62  

d)

 ±62\pm\sqrt{62}  

8.

 87\sqrt{87}  
Find the square root(s) of the number above.

a)

 8787  

b)

 87\sqrt{87}  

c)

 9.39.3  

d)

 9.3\sqrt{9.3}  

9.

 −35-\sqrt{35}  
Find the square root(s) of the number above.

a)

 −35-35  

b)

 −35-\sqrt{35}  

c)

 −5.9-5.9  

d)

 −5.9-\sqrt{5.9}  

10.

 1225\sqrt{1225}  
Why is the above number equal to 35?

a)

because  35×35=122535\times35=1225  

b)

because  35+35=7035+35=70  and 70 is not a perfect square.

c)

because if you multiply the two 2's in the middle you get 4.  Then subtract the 1 at the beginning which gives you 3.  Then use the 5 at the end to come up with 35.

d)

because  1225÷2=351225\div2=35  

11.

How many square roots does each positive number have?

Note: this isn't asking about a positive square root . . .

a)

1

b)

2

c)

3

d)

4

12.

When using a calculator, do you input the square root symbol first or the number first?

a)

square root symbol first then number

b)

number first then square root symbol

c)

it depends on what type of calculator you are using

d)

you actually have to push the 2nd button first

13.

What are the two square roots of 6,400?

a)

6000 and 400

b)

80 and -80

c)

3,200 and -3,200

d)

2 and -3,200

14.

What is the negative square root of 1764?

a)

42

b)

-882

c)

42 and -42

d)

-42

15.

What is the positive square root of 49?

a)

7 and -7

b)

6

c)

7

d)

8

16.

−√784

a)

28

b)

 ±28\pm28 

c)

-28

d)

-392

17.

√2809

a)

51

b)

52

c)

53

d)

1,404.5

18.

 ±\pm\sqrt{ }  



In math, when you see the symbol above, what does it refer to?

a)

the positive square root of a number

b)

the negative square root of a number

c)

both the positive AND the negative square roots of a number

d)

a check mark

19.

 51.84\sqrt{51.84}  
Find the square root(s) of the above number.

a)

7.1

b)

7.2

c)

25.92

d)

7.3

20.

 324\sqrt{324}  
Why is the above number equal to 18?

a)

because  18×18=32418\times18=324  

b)

because  18+18=3618+18=36  and 36 is a perfect square, just like 324. 

c)

because if you add the 3 + 2 it equals 5.  Then you multiply that times the 4, which gives you 20.  Then you subtract the middle 2, which gives you 18.

d)

because  324÷2=18324\div2=18