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Worksheets

Principal Roots

Total questions: 25

Worksheet time: 13mins

Name
Class
Date
1.

Which of the following refers to a number whose decimal representation is neither terminating nor repeating? This number cannot be expressed as a quotient of integers.

a)

Integers

b)

Irrational

c)

Natural

d)

Rational

2.

What is the principal root of √81?

a)

9

b)

8

c)

18

d)

81

3.

Where does the square root of 30 lie?

a)

between 5 & 6

b)

beyond 6

c)

before 5

d)

at 6

4.

Which of the following numbers has an irrational square root?

a)

1

b)

81

c)

100

d)

300

5.

Which of the numbers is classified as perfect square integer?

a)

49

b)

50

c)

63

d)

200

6.

Which of the statements is TRUE?

a)

√7 is an integer

b)

√16 is an irrational number

c)

√25 is a rational number

d)

√90 is neither rational nor irrational number

7.

Between what two consecutive integers does the square root of 118 lie?

a)

8 & 9

b)

9 & 10

c)

10 & 11

d)

11 & 12

8.

Which of the following is not a perfect square integer?  

a)

25

b)

49

c)

63

d)

81

9.

Which of the following square roots lies between 2 and 3.

a)

√2

b)

√3

c)

√5

d)

√10

10.

Find the principal root of √121.

a)

10

b)

11

c)

12

d)

13

11.

Which whole number is closest to √46?

a)

5

b)

6

c)

7

d)

8

12.

Which of the following is the perfect square number closest but less than 20?

a)

16

b)

19

c)

22

d)

25

13.

Locate and plot √5 on a number line.

a)
b)
c)
d)
14.

Locate and plot √23 on a number line.

a)
b)
c)
d)
15.

What is the square root of 15 to the nearest hundredths?

a)

3.01

b)

3.27

c)

3.52

d)

3.87

16.

Which of the following is the closest approximation of√51?

a)

6.64

b)

6.94

c)

7.04

d)

7.14

17.

Identify which perfect squares is closest to 216?

a)

196

b)

225

c)

256

d)

289

18.

Which of the following number is the estimate of√146?

a)

11.08

b)

11.18

c)

12.08

d)

12.18

19.

Locate and plot √32 on a number line.

a)
b)
c)
d)
20.

What is the square root of 176 to the nearest hundredths?

a)

13.19

b)

13.27

c)

13.38

d)

13.64

21.

 230\sqrt{230}  is an irrational number.  Between what two integers this number lies? 

a)

15 and 16 

b)

14 and 15  

c)

16 and 17  

d)

10 and 11

22.
Is 225 a perfect square?
a)
Yes
b)
No
23.
What is a square root
a)
A number to the second power
b)
A square that has roots on it
c)
Square roots are numbers that produce a specified quantity when multiplied by itself
24.
The area of a square painting is 81 cm2.  What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
25.

A wire, attached to a pole, has length  \sqrt{53} meters. Which of the following can be used to estimate the length of the wire?

a)

The length of the wire is between 5 to 6 meters.

b)

The length of the wire is between 6 to 7 meters.

c)

The length of the wire is between 7 to 8 meters.

d)

The length of the wire is between 8 to 9 meters.