On this page, you will find Square Roots from 1 to 20, by reading which you will be able to solve math problems easily.
On the previous page, we had shared the information of Squares From 1 to 100, so read that article as well, let us read and understand the information of Square Root 1 to 100 today.
Square Root 1 to 20
| Number (N) | Square (N²) | Square root (√N) |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 4 | 1.414 |
| 3 | 9 | 1.732 |
| 4 | 16 | 2 |
| 5 | 25 | 2.236 |
| 6 | 36 | 2.449 |
| 7 | 49 | 2.646 |
| 8 | 64 | 2.828 |
| 9 | 81 | 3 |
| 10 | 100 | 3.162 |
| 11 | 121 | 3.317 |
| 12 | 144 | 3.464 |
| 13 | 169 | 3.606 |
| 14 | 196 | 3.742 |
| 15 | 225 | 3.873 |
| 16 | 256 | 4 |
| 17 | 289 | 4.123 |
| 18 | 324 | 4.243 |
| 19 | 361 | 4.359 |
| 20 | 400 | 4.472 |
Square Root from 1 to 20
| √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 |
Square Root 1 to 20 for Perfect Squares
| √1 = 1 | √4 = 2 |
| √9 = 3 | √16 = 4 |
Square Root 1 to 20 for Non-Perfect Squares
The table below shows the values of 1 to 20 square roots 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 |
Example 1. A square metal sheet has an area of 11 sq. inches. Find the length of the side of the metal sheet.
Solution : Let ‘a’ be the length of the side of the metal sheet
Area of the square metal sheet = 11 in2 = a2
i.e. a2 = 11
a = √11
= 3.317 in.
Therefore, the length of the side of the metal sheet is 3.317 inches.
Example 2. If a circular tabletop has an area of 15π sq. inches. Find the radius of the tabletop in inches?
Solution : Area of circular tabletop = 15π in2 = πr2
i.e. 15 = r2.
Hence, radius = √15
Using the values from 1 to 20 square root chart, the radius of the tabletop = √15 in
= 3.873 in.
Example 3. Find the value of 9√15 + 6√13
Solution : 9√15 + 6√13
= 9 × (3.873) + 6 × (3.606)
[the value of √15 = 3.873 and √13 = 3.606]
Therefore, 9√15 + 6√13
= 34.857 + 21.636
= 56.493
Square Roots of Numbers Between 1 to 10
| Square Root of 1 | Square Root of 2 |
| Square Root of 3 | Square Root of 4 |
| Square Root of 5 | Square Root of 6 |
| Square Root of 7 | Square Root of 8 |
| Square Root of 9 | Square Root of 10 |
FAQs on Square Root 1 to 20
Ans. The value of square root 1 to 20 is a number (x1/2) when multiplied by itself gives the original number. It can have both negative and positive values.
Between 1 to 20, the square roots of 1, 4, 9, and 16 are whole numbers (rational), while the square roots of 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, and 20 are decimal numbers that are neither terminating nor recurring (irrational).
Ans. The numbers 2, 3, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 17, 18, 19, and 20 are non-perfect squares. Hence their square root will be an irrational number (cannot be expressed in the form of p/q where q ≠ 0).
Ans. What are the first 20 square numbers? The first 20 square numbers are: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, 169, 196, 225, 256, 289, 324, 361, 400.
Ans. The value of √16 is 4. So, 21 + 2 × √16 = 21 + 2 × 4 = 29. Hence, the value of 21 plus 2 square root 16 is 29.
In this post you read the Square Roots from 1 to 20.
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