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Online Square Root Calculator
Find the square root of any number, with imaginary results for negatives, rounded for clarity and ready to copy with one click.
Answer
2√10 = 3.16228
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What Is This Tool?
The Square Root Calculator finds the square root of any number you enter. For positive numbers it returns the principal (positive) square root, such as √10 ≈ 3.16228. For negative numbers it returns the imaginary results, such as √-10 = 3.16228i or -3.16228i. The answer is rounded for readability, and you can copy it with one click.
How to Use This Tool?
- Enter the number you want the square root of.
- Click the Calculate button.
- Read the result shown after the radical sign.
- Click the copy icon to copy the answer.
Key Features
- Calculates the square root of any number.
- Returns imaginary roots for negative inputs.
- Handles whole numbers and decimals.
- Rounds the result for easy reading.
- Includes a one-click copy button.
Examples
- The square root of 25 is 5.
- The square root of 10 is about 3.16228.
- The square root of 2 is about 1.41421.
- The square root of -10 is 3.16228i or -3.16228i.
Common Use Cases
- Solving algebra and geometry problems.
- Finding the side length of a square from its area.
- Working through the Pythagorean theorem.
- Checking square root answers on homework.
- Exploring imaginary numbers from negative inputs.
Tips & Best Practices
- Enter negative numbers to see their imaginary roots.
- Use a dot for decimals, such as 2.5.
- Remember the tool shows the principal (positive) root for positives.
- Keep in mind most square roots are rounded, not exact.
- Copy the result directly to avoid typing mistakes.
Limitations
- Most results are rounded and not perfectly exact.
- It returns the square root, not other roots like cube roots.
- Negative inputs give imaginary results, not real numbers.
- Very large numbers may lose precision.
Frequently Asked Questions
- What is a square root?
- A square root of a number is a value that, when multiplied by itself, gives that number.
- Can I take the square root of a negative number?
- Yes. The result is imaginary, shown with an i, such as 3.16228i or -3.16228i.
- Why does the answer have decimals?
- Many numbers are not perfect squares, so their roots are irrational and shown as rounded decimals.
- Does it show both roots?
- For positive numbers it shows the principal positive root. For negative numbers it shows both imaginary roots.
Key Terminology
- Square root
- A value that, when multiplied by itself, produces the original number.
- Principal square root
- The non-negative square root of a number.
- Radicand
- The number written under the radical sign.
- Radical sign
- The √ symbol used to indicate a root.
- Imaginary number
- A number based on i, the square root of -1, used for roots of negatives.