List of Square Root 1 to 30 Values and PDF With Example

Table of Square Root 1 to 30 (वर्गमूल 1 से 30 तक)

Square root 1 to 30 is the list of square roots of all the numbers from 1 to 30. Square root can have both negative and positive values. The positive values of square roots from 1 to 30 range from 1 to 5.477.

In square roots 1 to 30, the numbers 1, 4, 9, 16, and 25 are perfect squares and the remaining numbers are non-perfect squares i.e. their square root will be irrational. The square root 1 to 30 in radical form is expressed as √x and in the exponential form it is expressed as (x)½.

In radical form: √x

In exponential form: (x)½

Where x is any number between 1 to 30.

Learning Square Roots 1 to 30 will help you quickly simplify time-consuming long equations. The values of square roots from 1 to 30 to 3 decimal places are listed in the table below.

Square Root from 1 to 30 Rounded to 3 Decimal Places
√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 = 4.690
√23 = 4.796	√24 = 4.899
√25 = 5	√26 = 5.099
√27 = 5.196	√28 = 5.292
√29 = 5.385	√30 = 5.477

Square Root 1 to 30 for Perfect Squares

√1 = 1	√4 = 2
√9 = 3	√16 = 4
√25 = 5

Read Also- Square 1 to 30, Chart and Tricks, 1 to 30 Square Values PDF

Square Root 1 to 30 for Non-Perfect Squares

√2 = 1.414	√3 = 1.732
√5 = 2.236	√6 = 2.449
√7 = 2.646	√8 = 2.828
√10 = 3.162	√11 = 3.317
√12 = 3.464	√13 = 3.606
√14 = 3.742	√15 = 3.873
√17 = 4.123	√18 = 4.243
√19 = 4.359	√20 = 4.472
√21 = 4.583	√22 = 4.690
√23 = 4.796	√24 = 4.899
√26 = 5.099	√27 = 5.196
√28 = 5.292	√29 = 5.385
√30 = 5.477

How to find Square Root from 1 to 30?

Method 1: Prime Factorization

Example- Value of √16

Prime factorization of 16 is 4 × 4

Pairing prime factors: 4

Therefore, the value of √16 = 4

Method 2: Long Division Method to solve Square Root of 20

Square Root 1 to 30 Solved Examples

Example 1: Simplify the expression: 2√16 + 6.

Answer-

Given expression: 2√16 + 6.

We know that √16 = 4.

Substituting the value in the given expression, we get

2√16 + 6 = 2(4) + 6

2√16 + 6 = 8 + 8

2√16 + 6 = 16

Hence, the simplified form of the expression 2√16 + 6 is 16.

Example 2: Simplify the expression: (2√14 × √14) + 10.

Answer-

Given expression: (2√14 × √14) + 10

(2√14 × √14) + 10 = [2(√14)2] + 10

(2√14 × √14) + 10 = [2(14)] + 10

(2√14 × √14) + 10 = 28 + 10

(2√14 × √14) + 10 = 38

Hence, the simplified form of the expression (2√14 × √14) + 10 is 38.

Example 3: Find the value of a, if 4√3 + a = 20.

Answer-

Given equation: 4√3 + a = 20 …(1)

We know that √3 = 1.732

Now, substitute the value in equation (1), we get

⇒ 4(1.732) + a = 20

⇒ 6.928 + a = 20

⇒ a = 20 – 6.928

⇒ a = 13.072

Hence, the value of a is 13.072.

List of Square Root 1 to 30 Values and PDF

Click Here to Download 1 to 30 Square Roots in PDF form