Square Root of 4 | What is Value of Root 4

In this article, you will learn to find the root of 4. where Square and the Square Root of different numbers have been determined. Let us see some basics related to square root.

Square Root of 4

Basically, a number when get multiplied by itself is called a square number. For example: 3 x 3 = 9 so 9 is a square number.

You can see some more examples below :

4² = 4 x 4 = 16
8² = 8 x 8 = 64
7² = 7 x 7 = 49
6² = 6 x 6 = 36

What is a Perfect Square?

A simple way to know if a Number is a perfect square or not:

• If a number ends with 2, 3, 7, 8 at the unit place then it is not a perfect square
• If a number is a perfect square, then it ends with 1, 4, 5, 6, 9 in the unit place but vice versa is not possible. For example, 25 is a perfect square, whereas 35 is not

What is the Square Root of 4?

In mathematics, squaring a number is not difficult as the calculation is easy. To find the square root of a number is complicated as we need to find the original number that was squared.

Let us consider an example : +5 and -5 are square roots of 25 because 5² = (-5)² = 25. A non-negative real number has a unique non-negative square root.

It is called principal square root denoted by √a. √ is called the radical symbol or radix and in this example,

the principal square root of 25 is 5 which is denoted by √25 = 5, because 5² = 5 • 5 = 25 and 5 is non-negative. The number underneath the radical symbol is called the radicand. Here the radicand is 25.

Considering the above example, +2 and -2 are square roots of 4 because 2² = (-2)² = 4. A non-negative real number has a unique non-negative square root. It is called principal square root denoted by √a. √ is called the radical symbol or radix and in this example,

the principal square root of 4 is 2 which is denoted by √4 = 2 because 2² = 2 • 2 = 4 and 2 are non-negative.

The number underneath the radical symbol is called the radicand. Here the radicand is 4. Here is a video for the shortcut method to find out the square root of a number.

Square Root of 40

40 is the multiple of 4 and 10. As we already know, the root of 4 is equal to 2 but what about number 10. Since 10 is not a perfect square, thus we have to find the root of 10 using the long division method.

Hence, we can write,

Value of root 40 = √40 = √4 x √10 = 2 √10

Since, √10 = 3.162    [By long division method]

Hence, √40 = 2 x 3.162 = 6.324

Square Root of 400

When number 4 is multiplied by 100 it results in 400, such as;

4 x 100 = 400

As you can see, both 4 and 100 are the perfect squares. Hence, it is easy to find the root value of 400. Therefore,

√400 = √4 x √100 = 2 x 10 = 20

Hence, 20 is the answer.

Square Root From 1 to 50

Here is the list of the square root of numbers from 1 to 50. Student can use this table to do calculations.

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

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