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# Square Roots Part 1 - Perfect Roots

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.

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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 22 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.

√225
15
25
50
55
15 x 15 = 225
It can also be written as 152 = 225. Answer (a) shows the correct squared number
2.
Find the answer that shows the correct squared number.

√144
11
12
14
16
12 x 12 = 144
It can also be written as 122 = 144. Answer (b) shows the correct squared number
3.
Find the answer that shows the correct squared number.

√81
9
6
8
5
9 x 9 = 81
It can also be written as 92 = 81. Answer (a) shows the correct squared number
4.
Find the answer that shows the correct squared number.

√9
9
4
3
7
3 x 3 = 9
It can also be written as 32 = 9. Answer (c) shows the correct squared number
5.
Find the answer that shows the correct squared number.

√49
7
9
6
8
7 x 7 = 47
It can also be written as 72 = 49. Answer (a) shows the correct squared number
6.
Find the answer that shows the correct squared number.

√100
20
10
50
25
10 x 10 = 100
It can also be written as 102 = 100. Answer (b) shows the correct squared number
7.
Find the answer that shows the correct squared number.

√169
9
11
12
13
13 x 13 = 169
It can also be written as 132 = 169. Answer (d) shows the correct squared number
8.
Find the answer that shows the correct squared number.

√64
14
24
8
32
8 x 8 = 64
It can also be written as 82 = 64. Answer (c) shows the correct squared number
9.
Find the answer that shows the correct squared number.

√10,000
1000
1
10
100
100 x 100 = 10000
It can also be written as 1002 = 10000. Answer (d) shows the correct squared number
10.
Find the answer that shows the correct squared number.

√16
2
8
3
4
4 x 4 = 16
It can also be written as 42 = 16. Answer (d) shows the correct squared number
Author:  Christine G. Broome