Square Root Numbers

Bookmark added to your notes.
View Notes
×

List of All Square Roots

The square root of numbers is an important mathematical concept that should be clear to students. Learning square roots and squares of a number will increase a student’s interest and understanding of how mathematical concepts work. Learning squares and square roots of all the numbers is an impossible task. However, students should at least know these values up to 50. By memorising squares and square roots of numbers from 1 to 50, students will be able to attempt their question papers quickly.

This will not only increase your speed while calculating but also give you more time to attempt more complex questions. While attempting your question paper, it is important to plan your paper. You want your calculations to be fast but also accurate at the same time. The more you practice these numbers, the more they will become engraved to your memory.


Square Roots List

Square roots 1 to 50 list is given below. Students can use this list to memorise the values of squares and square roots of numbers from 1 to 50. To learn values above 50 is a difficult task but not impossible. Learning all the values at once can be a daunting task. So it is advised to learn them in groups. It is also important to put them to use when you are practising to memorise the values.

Number (n)

Square Root (√n)

Square(n2)

1

1

1

2

1.41421

4

3

1.73205

9

4

2

16

5

2.23606

25

6

2.44948

36

7

2.64575

49

8

2.82842

64

9

3

81

10

3.16227

100

11

3.31662

121

12

3.46410

144

13

3.60555

169

14

3.74165

196

15

3.87298

225

16

4

256

17

4.12310

289

18

4.24264

324

19

4.35889

361

20

4.47213

400

21

4.58257

441

22

4.69041

484

23

4.79583

529

24

4.89897

576

25

5

625

26

5.09901

676

27

5.19615

729

28

5.29150

784

29

5.38516

841

30

5.47722

900

31

5.56776

961

32

5.65685

1024

33

5.74456

1089

34

5.83095

1156

35

5.91607

1225

36

6

1296

37

6.08276

1369

38

6.16441

1444

39

6.24499

1521

40

6.32455

1600

41

6.40312

1681

42

6.48074

1764

43

6.55743

1849

44

6.63324

1936

45

6.70820

2025

46

6.78232

2116

47

6.85565

2209

48

6.92820

2304

49

7

2401

50

7.07106

2500


Square Root Numbers List

Every positive number can have a positive and a negative root. The is called the radical sign and is used to depict the square root of any number.

√4 =2

As, 2 x 2 = 4

Also (-2) x (-2) = 4

Therefore, 4 has 2 square roots, 2 and -2

Square roots of negative numbers are studied under the concepts of complex numbers. Also squaring can be talked about in other mathematical concepts. To square two matrices is to multiply them with each other. The meaning of squaring or square root remains the same.

FAQ (Frequently Asked Questions)

1. What do you mean by Perfect square? List all the perfect squares from 1 to 100?

Perfect squares are numbers whose square root values are whole numbers without any decimal values. Perfect squares are easy to memorize. Students should keep them on their tips. Knowing squares and square roots of numbers will help you calculate quickly. Time is the utmost important thing during your examination. While attempting your long mathematics question paper, you don't want to spend it merely on calculating.

Given below is the list of perfect Square roots from 1 to 100. Students can refer to this list and understand the concept of perfect square roots more clearly.


Number

Square Roots

Squares

1

1

1

4

2

16

9

3

81

16

4

256

25

5

625

36

6

1296

49

7

2401

64

8

4096

81

9

6561

100

10

10000

2. Explain the relationship between the square and the square root of a number?

To understand the square root of a number, students need to learn about the square of a number. Square of a number is the multiplication of the number by itself.

Square of 3.

3 x 3 = 9. 9 is the square of 3.

Now the square root of a number is defined as a number which, if multiplied with itself will give the original number. From the above example.

For number 9,

3 is the square root of 9. As on multiplying 3 with 3, we get 9.

Square and square roots are therefore complementary to each other.

It is easy to find square roots of perfect squares. We can simply use the LCM method for non-perfect squares; we use the long division method and find the square root of the number to its decimal places. 

3. Why is it important to memorise Square Roots?

The mathematics question paper is long. The paper is designed to test mathematical skills in students. You can only score well in maths if you are regular with your preparations. You need to be consistent with your efforts. Students need to allot a particular time of the day to study mathematics. Mathematics does increase your brain function which will help you in other subjects as well. It will also help in improving the practical and application-based thinking skills.

Calculations can be tiresome. During your exams, you are bound to easily make mistakes during calculations. Students need to be quick and accurate with their calculations. This makes memorising square root values very important. Students will not only be quick with their preparations but also will be more accurate. Learning all the values will come from constant practice and developing it as a habit can be really helpful.