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 square root of 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 to 50 here; similarly, you can keep finding the square root of numbers above 50, using a calculator.

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3 Comments

  1. What is value of (√-1)^(√-1)

  2. Can you tell how to solve Square Roots step by step.

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