Square Root Calculator

Square roots and any nth root, to high precision. Calculate square roots, cube roots or any nth root of a number with high precision. Handles decimals and shows the exact root expression. Free root calculator.

This tool runs 100% in your browser. Your input is never sent to any server — you can even go offline after the page loads.

About the Square Root Calculator

The square root asks: which number times itself gives this one? This calculator answers instantly for any non-negative input, to a dozen significant digits, and generalises to cube roots, fourth roots or any nth root you specify. Negative inputs to odd roots are handled correctly (the real root exists), and the expression evaluated is displayed with each result so you can confirm exactly what was computed.

How to use the Square Root Calculator

  1. Enter the number.
  2. Choose 2 for square root or set a custom n.
  3. Read the high-precision result.
  4. Verify the shown expression for your records.

Key features

Why is the square root of a negative number not real?
No real number multiplied by itself is negative. The result lives in the complex numbers (e.g. √−1 = i), outside this calculator's real-number scope.
What is the difference between √x and x^(1/2)?
Nothing — they are two notations for the same operation. In fact x^(1/n) is the general nth root.

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