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1 to 30 Square Root
Square 1 to 30 is the list of squares of all the numbers from 1 to 30. The value of squares from 1 to 30 ranges from 1 to 900.
Memorizing these values will help students to simplify the time-consuming equations quickly. The square 1 to 30 in the exponential form is expressed as (x)2.
Square 1 to 30
- Exponent form : (x)2
- Highest Value : 302 = 900
- Lowest Value : 12 = 1
1 to 30 Square Root
| √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 |
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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