Square roots 1 to 30 are the square roots of the natural number from 1 to 30. These square roots are very helpful in solving various mathematical problems and making the calculation easy in mathematics. The square root of any number is defined as the number with an exponent of 1/2. The square root of the number x is written as √x or (x)1/2. It is calculated by finding the prime factors of any number and then taking one for two prime factors. We can understand this by the following example:
Example: Find the Square Root of 16
Solution: √(16) = √(2 × 2 × 2 × 2) = 2 × 2 = 4
Similarly, the Square Root of all the numbers from 1 to 30 is found and the same is added in this article. In this article, we will learn about Square roots from 1 to 30, their values, charts, examples, and others in detail.
Square Root 1 to 30
The square root 1 to 30 is the square root of the natural numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, and 30. Learning these square roots is very important to the students. The basics of Square roots from 1 to 30 are,
- Radical Form: √x
- Exponent Form: (x)1/2
- Lowest Value: (1)1/2 = 1
- Highest Value: (30)1/2 = 5.4772
What is Square Root 1 to 30?
Square Roots from 1 to 30 are the square root of the individual numbers and they are listed as 1 square root equals 1, 2 square root equals 1.414, and so on. The chart of the square roots from 1 to 30 is added below:
List of Square Root 1 to 30
The list of square roots from 1 to 30 is very important, and this helps the students to excel in mathematics. The table added below contains the list of the square roots from 1 to 30.
|
1
|
1
|
11
|
3.316
|
21
|
4.582
|
|
2
|
1.414
|
12
|
3.464
|
22
|
4.690
|
|
3
|
1.732
|
13
|
3.605
|
23
|
4.795
|
|
4
|
2
|
14
|
3.741
|
24
|
4.898
|
|
5
|
2.236
|
15
|
3.872
|
25
|
5
|
|
6
|
2.449
|
16
|
4
|
26
|
5.099
|
|
7
|
2.645
|
17
|
4.123
|
27
|
5.196
|
|
8
|
2.828
|
18
|
4.242
|
28
|
5.291
|
|
9
|
3
|
19
|
4.358
|
29
|
5.385
|
|
10
|
3.162
|
20
|
4.472
|
30
|
5.477
|
Square Root 1 to 30 (Even Numbers)
The square root 1 to 30 even numbers contain all the square root of the even number from 1 to 30, i.e. it contains the square root of 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, and 30. The table added below shows the square root of all the even numbers from 1 to 30.
|
(2)1/2
|
1.414
|
|
(4)1/2
|
2
|
|
(6)1/2
|
2.449
|
|
(8)1/2
|
2.828
|
|
(10)1/2
|
3.162
|
|
(12)1/2
|
3.464
|
|
(14)1/2
|
3.741
|
|
(16)1/2
|
4
|
|
(18)1/2
|
4.242
|
|
(20)1/2
|
4.472
|
|
(22)1/2
|
4.690
|
|
(24)1/2
|
4.898
|
|
(26)1/2
|
5.099
|
|
(28 )1/2
|
5.291
|
| (30)1/2 |
5.477
|
Square Root 1 to 30 (Odd Numbers)
The square root 1 to 30 odd numbers contain all the square roots of the odd number from 1 to 30, i.e. it contains the square root of 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, and 29. The table added below shows the square of all the Odd Numbers from 1 to 30.
|
(1)1/2
|
1
|
|
(3)1/2
|
1.732
|
|
(5)1/2
|
2.236
|
|
(7)1/2
|
2.645
|
|
(9)1/2
|
3
|
|
(11)1/2
|
3.316
|
|
(13)1/2
|
3.605
|
|
(15)1/2
|
3.8729
|
|
(17)1/2
|
4.123
|
|
(19)1/2
|
4.358
|
|
(21)1/2
|
4.582
|
|
(23)1/2
|
4.795
|
|
(25)1/2
|
5
|
|
(27)1/2
|
5.196
|
| (29)1/2 |
5.385
|
Square Root 1 to 30 for Perfect Squares
The square root of the perfect square from 1 to 30 contains the square root of the number that results in a natural number. The square root from 1 to 30 for a perfect square contains the square root of 1, 8, and 27. The table added below shows the square root of the perfect square from 1 to 30.
Square Root 1 to 30 for Non-Perfect Squares
The square root of the non-perfect square from 1 to 30 contains the square root of the number that does not results in a natural number. The square root from 1 to 30 for a non-perfect square contains the square root of all the numbers apart from 1, 4, 9, 16, and 25, i.e. the square root of the numbers 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 29, and 30. The table added below shows the square root of the non-perfect squares from 1 to 30.
|
2
|
1.414
|
13
|
3.605
|
23
|
4.795
|
|
3
|
1.732
|
14
|
3.741
|
24
|
4.898
|
|
5
|
2.236
|
15
|
3.872
|
26
|
5.099
|
|
6
|
2.449
|
17
|
4.123
|
27
|
5.196
|
|
7
|
2.645
|
18
|
4.242
|
28
|
5.291
|
|
8
|
2.828
|
19
|
4.358
|
29
|
5.385
|
|
10
|
3.162
|
20
|
4.472
|
30
|
5.4772
|
|
11
|
3.316
|
21
|
4.582
|
|
|
|
12
|
3.464
|
22
|
4.690
|
|
|
How to Calculate Square Root 1 to 30?
The square root from 1 to 30 are calculated using two general method that includes,
Prime Factorization Method
We use the prime factorization method for finding the square root of the perfect squares, i.e. the square root of the number whose prime factors are in pair of two. We can understand this by the example, the prime factor of 9 is 3×3 thus, the square root of 9 is found as,
(9)1/2 = (3×3)1/2 = 3
Long Division Method
The other way of finding the square root is by the use of the long division method. In this method, we take the number whose square root is to be found as the dividend. We take a pair of digits in the dividend and chose a divisor when multiplied by itself gives a number that is the nearest to the selected pair of digits in the dividend. Then we follow the same process of division to find the square root of the number. We can understand it with the help of an example.
Example: Find the square root of 2 using Long Division Method.
Solution:
We know that the square root of 2 is 1.414. Let’s see how we can calculate it using Long Division Method with the help of the image attached below:
Square Root 1 to 30 PDF
Square-Root 1 to 30 PDF contains all the value of squares roots from 1 to 30 and is important for students to easily perform various calculations. The square root 1 to 30 pdf can be easily downloaded from our website for refrence.
Read More,
Examples on Square Root 1 to 30
Now let’s see some examples on square root 1 to 30
Example 1: Find the side of the square whose area is 28 cm2.
Solution:
Given,
Area of Square (A) = 28 cm2
Area of Square (A) = a2 = 28
Side of Square (a) = (V)1/2
a = (28)1/2
a = 5.291 cm
Thus, the side of the square is 5.291 cm
Example 2: Simplify (14)1/2 – (11)1/2 + (9)1/2
Solution:
= (14)1/2 – (11)1/2 + (9)1/2
= 3.741 – 3.316 + 3 {using the square root table}
= 3.425
Example 3: Simplify (25)1/2 + (26)1/2 – (27)1/2
Solution:
= (25)1/2 + (26)1/2 – (27)1/2
= 5 + 5.099 – 5.196 {using the sqaure root table}
= 4/903
Square Root 1 to 30
1. What is Square Root 1 to 30?
The square root of 1 to 30 are the sqaure root of all natural number from 1 to 30.
2. What are the Methods to Calculate Square Root?
The square roots can be calculated by using two methods,
- Prime Factorization Method
- Long Division Method
3. What is the Square Root of 21?
The squqre root of 21 is, (21)1/2 = 4.5825
4. What is the Square Root of 16?
The square root of 16 is, (16)1/2 = 4
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