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Square Root Calculator: Find Square Roots in Seconds
What is a Square Root?
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 = 9. The square root symbol is called the radical sign (√).
How to Use Our Square Root Calculator
Our free online square root calculator makes finding square roots simple:
- Enter a positive number in the input field
- Click the "Calculate Square Root" button
- View the result instantly
Real-World Applications of Square Roots
Square roots are used in various fields including mathematics, engineering, physics, and finance. They're essential for solving quadratic equations, calculating distances, determining standard deviations in statistics, and much more.
Mathematical Properties of Square Roots
Some important properties of square roots include:
- Every positive number has two square roots: one positive and one negative
- The square root of 0 is 0
- Negative numbers have imaginary square roots
- Square roots of non-perfect squares are irrational numbers
Frequently Asked Questions About Square Roots
Can you calculate square roots of negative numbers?
Yes, but the result is an imaginary number. For example, the square root of -9 is 3i, where i is the imaginary unit (√-1).
What is a perfect square?
A perfect square is a number that has an integer as its square root. Examples include 1, 4, 9, 16, 25, etc.
How do you calculate square roots without a calculator?
You can estimate square roots using methods like the Babylonian method or by using prime factorization.
What is the square root of 0?
The square root of 0 is 0, since 0 × 0 = 0.
