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Worksheets

Solving Rationals, Square Root and Cube Root Equations

Total questions: 18

Worksheet time: 18mins

Name
Class
Date
1.

Between what two integers is the square root of 44?

a)

3 and 4

b)

4 and 5

c)

5 and 6

d)

6 and 7

2.

Between which two integers is the square root of 20?

a)

2 & 3

b)

3 & 4

c)

4 & 5

d)

5 & 6

3.

Between what two integers is the square root of 77?

a)

5 and 6

b)

6 and 7

c)

7 and 8

d)

8 and 9

4.

Estimate the value of √30 to the nearest tenths place.

a)

4.8

b)

5.5

c)

6.5

d)

7.2

5.

Between which two whole numbers does the √22 fall?

a)

3 and 5

b)

3 and 4

c)

4 and 5

d)

5 and 6

6.

Between which two whole numbers does the √115 fall?

a)

9 and 10

b)

10 and 11

c)

9 and 11

d)

11 and 12

7.

∛125

a)

5

b)

4

c)

6

d)

7

8.

Determine which is perfect square?

a)

54

b)

36

c)

21

d)

43

9.
a)
√32, √324, √101, √44
b)
√64, √121, √324, √361
c)
√64, √324, √361, √44
d)
√32, √44, √101, √64
10.

Square roots are the opposite of ____________.

a)

Cube Roots

b)

Squaring

c)

Multiplication

d)

Absolute Value

11.

estimate a square root of a number 54\sqrt{54}  

a)

=7=7  

b)

7\approx7  

c)

7\ne7  

d)

7\cong7  

12.

Write an equation for this phrase, "The square root of x is equal to 3."

a)

x2 = 3

b)

x2 = 9

c)

√x = 3

d)

√x = 9

13.

Solve for p when p2 = 100.

a)

1,000

b)

10

c)

0.10

d)

-0.10

14.

Write an equation for this phrase, "2 cubed is equal to the square root of x." 

a)

23 = √x

b)

22 = √x

c)

4 = √16

d)

√x = 2

15.

Approximate the square root to the tenths place:  √52

a)

7.2

b)

7.3

c)

7.1

d)

7.5

16.

(cube root of 8)

a)

2

b)

±2\pm2  

c)

-2

d)

None of the above 

17.

The area of a square painting is 81 cm2cm^2  . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

18.

(cube root of -1)

a)

±1\pm1  

b)

1

c)

-1

d)

none of the above (imaginary number)