Square Root Calculator

Compute the square root of any positive real number with adjustable decimal precision. Step‑by‑step result shown below.

Understanding Square Roots

For a non‑negative real number \(x\), the square root \(\sqrt{x}\) is the unique non‑negative number \(y\) such that \(y^2 = x\).

Example: \(\sqrt{9} = 3\) because \(3^2 = 9\). For non‑perfect squares, the result is an irrational number approximated to the chosen decimal places.

\[ \sqrt{x} = y \quad \Longleftrightarrow \quad y^2 = x,\; y \ge 0 \]

Square Root Calculator

Enter a positive number & choose decimal places
Enter a positive number (e.g., 2, 0.25, 10.5).
\(\sqrt{x} =\) --

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