What is a Square Root?
The square root of a number is the value which, when multiplied by itself, gives that number. Learning Square Root Chart of important perfect square number is essential to increase of your speed of solving math questions in exams.
For example:
- √4 = 2 because 2 × 2 = 4
- √25 = 5 because 5 × 5 = 25
Square roots are represented by the symbol √.
They are commonly used in:
- Simplifying expressions
- Solving equations
- Mensuration
- Geometry
- Speed-distance-time problems
and more! - Compound Interest
Square Root Chart 1 to 50 :
Here is the Square Root Chart from 1 to 50 with accurate values, ideal for memorizing or printing for quick revision.
✅ Tip: Memorize perfect squares at least from 1 to 30. For others, approximation helps in MCQs.
| S.No | Perfect Square | Square Root |
|---|---|---|
| 1 | 1 | 1 |
| 2 | 4 | 2 |
| 3 | 9 | 3 |
| 4 | 16 | 4 |
| 5 | 25 | 5 |
| 6 | 36 | 6 |
| 7 | 49 | 7 |
| 8 | 64 | 8 |
| 9 | 81 | 9 |
| 10 | 100 | 10 |
| 11 | 121 | 11 |
| 12 | 144 | 12 |
| 13 | 169 | 13 |
| 14 | 196 | 14 |
| 15 | 225 | 15 |
| 16 | 256 | 16 |
| 17 | 289 | 17 |
| 18 | 324 | 18 |
| 19 | 361 | 19 |
| 20 | 400 | 20 |
| 21 | 441 | 21 |
| 22 | 484 | 22 |
| 23 | 529 | 23 |
| 24 | 576 | 24 |
| 25 | 625 | 25 |
| 26 | 676 | 26 |
| 27 | 729 | 27 |
| 28 | 784 | 28 |
| 29 | 841 | 29 |
| 30 | 900 | 30 |
| 31 | 961 | 31 |
| 32 | 1024 | 32 |
| 33 | 1089 | 33 |
| 34 | 1156 | 34 |
| 35 | 1225 | 35 |
| 36 | 1296 | 36 |
| 37 | 1369 | 37 |
| 38 | 1444 | 38 |
| 39 | 1521 | 39 |
| 40 | 1600 | 40 |
| 41 | 1681 | 41 |
| 42 | 1764 | 42 |
| 43 | 1849 | 43 |
| 44 | 1936 | 44 |
| 45 | 2025 | 45 |
| 46 | 2116 | 46 |
| 47 | 2209 | 47 |
| 48 | 2304 | 48 |
| 49 | 2401 | 49 |
| 50 | 2500 | 50 |
Why Memorize the Square Root Chart?
Government job exams are time-bound, and speed matters. Here’s why you should remember square roots:
✅ Faster Calculations: Avoid manual squaring during simplification.
✅ Approximation: Eliminate wrong MCQ options quickly.
✅ Geometry & Mensuration: Many area/diagonal questions require square roots.
✅ Accuracy: Less chance of silly mistakes.
Examples of Square Root Use in Exams
Example 1:
Question: What is √144?
Solution: Since 144 is a perfect square, √144 = 12
Example 2:
Question: Estimate the value of √50
Answer: From the Square Root Chart, √50 ≈ 7.071
Example 3:
Question: If the area of a square is 36 sq. units, what is the side?
Solution: side = √36 = 6 units
Example 4:
Question: Simplify √25 + √36
Solution: √25 = 5, √36 = 6 → 5 + 6 = 11
Easy Tricks to Remember Square Roots:
- Memorize Perfect Squares till 30:
1² = 1, 2² = 4, 3² = 9, … 30² = 900 - Break down the chart into blocks of 10
- Use visual memory (sticky notes, flashcards)
- Practice reverse: “What is the square root of 121?” → 11
- Revise every day for 5 minutes
Practice Questions (With Answers Below):
Try solving these before checking the answers:
- √36 = ?
- √64 = ?
- √50 ≈ ?
- √1 = ?
- √81 = ?
- √12 ≈ ?
- √0.25 = ?
- √49 = ?
- √20 ≈ ?
- √1.44 = ?
Answers:
- 6
- 8
- 7.071
- 1
- 9
- 3.464
- 0.5
- 7
- 4.472
- 1.2
📥 Download Square Root Chart PDF (1–50)
Need a printable version of this chart for daily revision?👉 [Click here to download the Square Root Chart PDF]
Bonus: Square vs. Square Root Table:
| Number | Square (n²) | Square Root (√n) |
|---|---|---|
| 5 | 25 | 2.236 |
| 10 | 100 | 3.162 |
| 15 | 225 | 3.873 |
| 20 | 400 | 4.472 |
| 25 | 625 | 5.000 |
Final Thoughts:
The Square Root Chart 1–50 is an essential part of your exam strategy. The more familiar you are with these values, the more confident and accurate you’ll be in the Quant section.
✅ Quick Recall = Quick Marks!
So, practice daily, revise frequently, and don’t forget to test yourself weekly.
All the best for your exam preparations!
Do you want Squares Chart 1-100 ? Click Here To Learn and Download Chart of 1-100 Squares.
