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The square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3 because 3×3=93 × 3 = 93×3=9.
Understanding square roots is essential for students, educators, and anyone working with mathematics in science, engineering, or data analysis.
Square Roots from 1 to 50 (√1 to √50)
Here’s a handy reference table for square roots of numbers from 1 to 50, rounded to 4 decimal places where necessary:
| Number (n) | √n (Square Root) |
| 1 | 1.0000 |
| 2 | 1.4142 |
| 3 | 1.7321 |
| 4 | 2.0000 |
| 5 | 2.2361 |
| 6 | 2.4495 |
| 7 | 2.6458 |
| 8 | 2.8284 |
| 9 | 3.0000 |
| 10 | 3.1623 |
| 11 | 3.3166 |
| 12 | 3.4641 |
| 13 | 3.6056 |
| 14 | 3.7417 |
| 15 | 3.8729 |
| 16 | 4.0000 |
| 17 | 4.1231 |
| 18 | 4.2426 |
| 19 | 4.3589 |
| 20 | 4.4721 |
| 21 | 4.5837 |
| 22 | 4.6904 |
| 23 | 4.7958 |
| 24 | 4.8990 |
| 25 | 5.0000 |
| 26 | 5.0990 |
| 27 | 5.1962 |
| 28 | 5.2915 |
| 29 | 5.3852 |
| 30 | 5.4772 |
| 31 | 5.5678 |
| 32 | 5.6569 |
| 33 | 5.7446 |
| 34 | 5.8310 |
| 35 | 5.9161 |
| 36 | 6.0000 |
| 37 | 6.0828 |
| 38 | 6.1644 |
| 39 | 6.2449 |
| 40 | 6.3246 |
| 41 | 6.4031 |
| 42 | 6.4807 |
| 43 | 6.5574 |
| 44 | 6.6332 |
| 45 | 6.7082 |
| 46 | 6.7823 |
| 47 | 6.8557 |
| 48 | 6.9282 |
| 49 | 7.0000 |
| 50 | 7.0711 |
What Is a Square Root?
Definition: The square root of a number n is a number that satisfies the condition: n×n=n\sqrt{n} × \sqrt{n} = nn×n=n.
Perfect Squares: Numbers like 1, 4, 9, 16, 25, 36, and 49 are called perfect squares because their square roots are whole numbers.
Applications of Square Roots
Geometry: Used in calculating distances, areas (e.g., diagonal of a square).
Algebra: Key concept in solving quadratic equations.
Engineering: Used in formulas for force, energy, and waves.
Statistics: Standard deviation is based on square root calculations.
Also read:
How to Write 40000 in Words
How Do You Say 1 Lakh in English?
What is 5 Feet 5 Inches in Centimeters (cm)?
