Finding it difficult to calculate square roots by hand or with basic calculators?

Inaccurate square root values can cause significant errors in math problems, scientific formulas, and real-world applications.

Our Square Root Calculator eliminates this challenge by delivering exact root values with adjustable decimal precision—giving you reliable results for everything from basic math homework to complex engineering calculations without the headache of manual computation.

Square Root Calculator: Calculate Any Root Value With Precision

Use our free online square root calculator to calculate the square root of any value.

Explanation of Square Roots

Do you want to know how to calculate square roots?

Do you want to learn some nice tricks of how to calculate them in your head? Or see some great visualisations of square roots?

Then check out the video below!

Spiral of Theodorus

The Spiral of Theodorus, also known as the square root spiral, visually represents the growth of square roots using a series of right triangles. Each triangle has one leg of length 1, while the hypotenuse represents the square root of a sequential natural number. Starting from a 1×1 right triangle (hypotenuse = √2), each new triangle is built using the hypotenuse of the previous triangle as one of its sides. This geometric construction helps illustrate how square roots increase in a non-linear fashion, growing progressively larger while forming a natural spiral shape.

This visualization is useful for understanding the relationship between square numbers and their roots in a clear, intuitive way.

Perfect Square Grids

Each square represents a perfect square number (1, 4, 9, 16, 25), with the side length labeled as the square root.

This helps illustrate how square roots relate to area and side lengths. 

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Comparison of Square Roots

The above chart demonstrate how square roots grow more slowly than the numbers themselves, illustrating the non-linear relationship between a number and its square root.

Hopefully you’ve not only used our Square Root Calculator, but also learned a bit about square roots themselves!