In Mathematics, the square root of a number is a number which when multiplied by itself gives the original number. For example, the square root of 4 is 2. If 2 is multiplied by itself, we get 4. [i.e., 2×2 = 4]. In this article, let us discuss the values of square root 1 to 30, chart and many solved examples in detail.
What is Square Root 1 to 30?
The square root 1 to 30 in radical form is represented as √x, where x ranges from 1 to 30. Similarly, in exponential form, it is represented by (x)½, where x = 1 to 30.
For example, √25 = 5.
Here, x = 25.
Thus, the value of the square root of 25 is 5.
Square Root 1 to 30 Chart
The square root 1 to 30 chart is helpful for students to quickly learn the values of the square root of 1 to 30.
Also, check: Square Root Calculator.
Square Root 1 to 30 Table
The values of square root from 1 to 30 are listed in tabular form. Look at the table below to quickly learn the square root 1 to 30 values.
|
|
||
|
√1 |
= |
1 |
|
√2 |
= |
1.4142 |
|
√3 |
= |
1.732 |
|
√4 |
= |
2 |
|
√5 |
= |
2.236 |
|
√6 |
= |
2.4494 |
|
√7 |
= |
2.6457 |
|
√8 |
= |
2.8284 |
|
√9 |
= |
3 |
|
√10 |
= |
3.1622 |
|
√11 |
= |
3.3166 |
|
√12 |
= |
3.4641 |
|
√13 |
= |
3.6055 |
|
√14 |
= |
3.7416 |
|
√15 |
= |
3.8729 |
|
√16 |
= |
4 |
|
√17 |
= |
4.1231 |
|
√18 |
= |
4.2426 |
|
√19 |
= |
4.3588 |
|
√20 |
= |
4.4721 |
|
√21 |
= |
4.5825 |
|
√22 |
= |
4.6904 |
|
√23 |
= |
4.7958 |
|
√24 |
= |
4.8989 |
|
√25 |
= |
5 |
|
√26 |
= |
5.099 |
|
√27 |
= |
5.1961 |
|
√28 |
= |
5.2915 |
|
√29 |
= |
5.3851 |
|
√30 |
= |
5.4772 |
|
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Video Lessons on Square Roots
Visualising square roots
Finding Square roots
Square Root 1 to 30 Solved Examples
Example 1:
Simplify the expression: 2√16 + 4.
Solution:
Given expression: 2√16 + 4.
We know that √16 = 4.
Substituting the value in the given expression, we get
2√16 + 4 = 2(4) + 4
2√16 + 4 = 8 + 4
2√16 + 4 = 12
Hence, the simplified form of the expression 2√16 + 4 is 12.
Example 2:
Simplify the expression: (2√14 × √14) + 10.
Solution:
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.
Solution:
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.
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Frequently Asked Questions on Square Root 1 to 30
What is the square root 1 to 30?
The square root 1 to 30, √x, represents the number, which when multiplied by itself results in the original number, where x is any number from 1 to 30.
What is the square root of 16?
The square root of 16 is 4. That is √16 = 4.
What are the different methods to find the square root of a number?
The different methods to find the square root of a number are:
- Long division method
- Prime factorization method
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