Square Root Of 1

The square root of 1 refers to the value which when multiplied by itself gives the result as 1. For 1, its square root can be either 1 or -1 as both 1 multiplied by 1 and -1 multiplied by -1 gives the result as 1. In general, every number has two square roots i.e. the positive and the negative square root. In general, when talking about square roots, only the positive square root is considered (i.e. the principle square root). So,

Square Root of 1 (√1) = 1

Value of Square Root of 1 and its Derivation

The square root of 1 value is:

√1 = 1

As 1 is a real number and the square of any number is positive, we can assume that the square root of 1 is 1 itself. Representing this mathematically we get the following:

sqrt(1) = √1

And, √1×√1 = 1

Or, √1 = 1

Derivation of Square Root 1

Knowing how to find the square root of numbers is essential as it helps to have a deeper understanding of square roots concept. But, for 1, the derivation is simple and does not require complex methods. The basic polynomial equation can be used to derive the value of sqrt(1). Let √1 be x and then the equation of its square root will be-

x2 = 1

Now, this is an equation of degree 2 and will have 2 roots which are 1 and -1. But, as the square root value is considered as positive in general, the sqrt(1), under root 1 or simply √1 will be 1.

Try This: Square Root Calculator

Square Root From 1 to 50

You can find the square root of 1 to 50 from the tabular column below:

Number Square Root Value

1

1

2

1.414

3

1.732

4

2

5

2.236

6

2.449

7

2.646

8

2.828

9

3

10

3.162

11

3.317

12

3.464

13

3.606

14

3.742

15

3.873

16

4

17

4.123

18

4.243

19

4.359

20

4.472

21

4.583

22

4.69

23

4.796

24

4.899

25

5

26

5.099

27

5.196

28

5.292

29

5.385

30

5.477

31

5.568

32

5.657

33

5.745

34

5.831

35

5.916

36

6

37

6.083

38

6.164

39

6.245

40

6.325

41

6.403

42

6.481

43

6.557

44

6.633

45

6.708

46

6.782

47

6.856

48

6.928

49

7

50

7.071

Thus, you can find the individual square root of 1- 50 here, similarly you can keep finding the square root of numbers above 50 while using a calculator.

If somebody asks you what is the square root of 1, it is usually a trick question with 1 being the answer. Using the radical symbol usually implies that the root of a number is being found. We know that the nth root of a number, usually a complete number is defined as its unit-roots. The under root 1 is either 1 or -1 since either one is a solution and it is usually written as √1.

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