Square Root Calculator

Easily calculate the square root of any non-negative number.

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Calculation Steps

What is a Square Root?

The square root of a number, let's say 'x', is a value 'y' that, when multiplied by itself (y * y), equals 'x'. In mathematical terms, if y² = x, then 'y' is the square root of 'x'. It's essentially the inverse operation of squaring a number.

Square roots are fundamental in various fields, from geometry (think of the Pythagorean theorem for right-angled triangles) to physics, engineering, and computer science. They help us solve problems involving areas, distances, and many other real-world scenarios.

For perfect squares like 9, 16, or 25, their square roots are whole numbers (3, 4, 5 respectively). However, for numbers that aren't perfect squares, such as 2, 3, or 7, their square roots are irrational numbers. This means their decimal representation goes on infinitely without repeating. Our calculator provides a precise decimal approximation for these square roots, making it easy to work with them.

Learn more about square roots on Wikipedia.