Square Root Calculator - Find Square Roots
Result:
What is Square Root Calculator?
A square root calculator finds the value that, when multiplied by itself, equals the original number. The square root of a number x is written as √x. For example, √16 = 4 because 4 × 4 = 16.
Our calculator uses the mathematical square root function to provide accurate results for any positive real number, including perfect squares, decimals, and irrational numbers.
How It Works
Enter Number
Input positive number
Calculate Root
Get √x instantly
Common Examples
Perfect Squares
- √1 = 1
- √4 = 2
- √9 = 3
- √16 = 4
- √25 = 5
Decimal Numbers
- √0.25 = 0.5
- √0.36 = 0.6
- √2.25 = 1.5
- √6.25 = 2.5
- √12.25 = 3.5
Irrational Numbers
- √2 ≈ 1.414
- √3 ≈ 1.732
- √5 ≈ 2.236
- √7 ≈ 2.646
- √10 ≈ 3.162
Square Root Table
| Number | Square Root | Number | Square Root |
|---|---|---|---|
| 1 | 1.000 | 64 | 8.000 |
| 4 | 2.000 | 81 | 9.000 |
| 9 | 3.000 | 100 | 10.000 |
| 16 | 4.000 | 121 | 11.000 |
| 25 | 5.000 | 144 | 12.000 |
| 36 | 6.000 | 169 | 13.000 |
| 49 | 7.000 | 196 | 14.000 |
Frequently Asked Questions
What is a square root?
A square root of a number is a value that, when multiplied by itself, gives the original number. For example, √16 = 4 because 4 × 4 = 16.
Can I find square roots of negative numbers?
In real numbers, square roots of negative numbers don't exist. Our calculator works with positive real numbers only.
What are perfect squares?
Perfect squares are numbers whose square roots are whole numbers, like 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
How accurate is this calculator?
Our calculator provides results accurate to 6 decimal places using JavaScript's built-in Math.sqrt() function.
What's the difference between √x and x²?
√x finds what number multiplied by itself equals x, while x² multiplies x by itself. They are inverse operations.