*This Math quiz is called 'Square Roots Part 1 - Perfect Roots' and it has been written by teachers to help you if you are studying the subject at middle school. Playing educational quizzes is a fabulous way to learn if you are in the 6th, 7th or 8th grade - aged 11 to 14.*

* It costs only $12.50 per month to play this quiz and over 3,500 others that help you with your school work. You can subscribe on the page at Join Us*

To square a number means to multiply the number by itself. For example, 2 x 2 is squaring the number “2”. This can also be stated as **two squared** which will then look like this **2 ^{2}** with the little exponent “2”. (2 x 2 = 4)

As the answer here is the number “4”, it is stated as the “**square root of 4**” is “2” because “2” multiplied by itself gave us “4”. Sound confusing? Unfortunately, learning square roots is mostly memorization work because there are no math problems to work through to find the square root of a number.

Square roots are either “**perfect**” meaning the whole number has a squared number that, when multiplied by itself will equal the number, i.e., 25 is a perfect number because 5 x 5 = 25, or they are “**imperfect**” which means there is no number when multiplied by itself will equal the square root. For example the number 11 has no number that when multiplied by itself will give you the number 11.

Now let’s look at the number 36. What number when multiplied by itself equals 36? The answer is 6 because 6 square is **6 x 6 = 36**. That means that the square root of 36 is 6.

The math symbol that represents a square root is: “√”. So using the examples above it would read:

**√36 = 6 or √4 = 2**

Because there is no actual solution to finding a square root, the use of calculators comes in handy.

1.

Find the answer that shows the correct squared number.

√144

√144

11

12

14

16

2.

Find the answer that shows the correct squared number.

√100

√100

20

10

50

25

10 x 10 = 100

It can also be written as 10^{2} = 100. Answer (b) shows the correct squared number

It can also be written as 10

3.

Find the answer that shows the correct squared number.

√16

√16

2

8

3

4

4 x 4 = 16

It can also be written as 4^{2} = 16. Answer (d) shows the correct squared number

It can also be written as 4

4.

Find the answer that shows the correct squared number.

√225

√225

15

25

50

55

15 x 15 = 225

It can also be written as 15^{2} = 225. Answer (a) shows the correct squared number

It can also be written as 15

5.

Find the answer that shows the correct squared number.

√9

√9

9

4

3

7

3 x 3 = 9

It can also be written as 3^{2} = 9. Answer (c) shows the correct squared number

It can also be written as 3

6.

Find the answer that shows the correct squared number.

√81

√81

9

6

8

5

9 x 9 = 81

It can also be written as 9^{2} = 81. Answer (a) shows the correct squared number

It can also be written as 9

7.

Find the answer that shows the correct squared number.

√10,000

√10,000

1000

1

10

100

100 x 100 = 10000

It can also be written as 100^{2} = 10000. Answer (d) shows the correct squared number

It can also be written as 100

8.

Find the answer that shows the correct squared number.

√64

√64

14

24

8

32

8 x 8 = 64

It can also be written as 8^{2} = 64. Answer (c) shows the correct squared number

It can also be written as 8

9.

Find the answer that shows the correct squared number.

√169

√169

9

11

12

13

13 x 13 = 169

It can also be written as 13^{2} = 169. Answer (d) shows the correct squared number

It can also be written as 13

10.

Find the answer that shows the correct squared number.

√49

√49

7

9

6

8

7 x 7 = 47

It can also be written as 7^{2} = 49. Answer (a) shows the correct squared number

It can also be written as 7

It can also be written as 12

^{2}= 144. Answer (b) shows the correct squared number