Number	Square Root	Number	Square Root	Number	Square Root
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
• Long Division Method

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.

People Also Read:

• Square Root 1 to 100
• Squares and Square Roots
• Square Root by Long Division Method

Square Root 1 to 30 Examples

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

FAQs on Square Root 1 to 30

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.

What are the Methods to Calculate Square Root?

The square roots can be calculated by using two methods,

• Prime Factorization Method
• Long Division Method

Can the square root of a number be negative?

The principal square root of a number is always non-negative. However, in some contexts, both positive and negative values are considered.

Is the square root of 2 a rational number?

No, the square root of 2 is an irrational number, meaning it cannot be expressed as a simple fraction. It has an infinite non-repeating decimal expansion.

What is the Square Root of 21?

The squqre root of 21 is, (21)^1/2 = 4.5825

What is the Square Root of 16?

The square root of 16 is, (16)^1/2 = 4

Are square roots used in statistics?

Yes, square roots are used in statistics, particularly in calculating standard deviations and variances.

What is the square root of 6?

The square root of 6 is approximately 2.4492.

How can I approximate square roots without a calculator?

You can approximate square roots by finding the nearest perfect squares and using interpolation or by using the long division method.