purr.tools

Square Root Calculator

Enter a number to calculate its square root, cube root, square, and cube.

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How to calculate a square root

Enter any non-negative number. The result is the value which, when multiplied by itself, gives the original number. For example, √25 = 5 because 5 × 5 = 25.

Square root reference

√1 = 1, √4 = 2, √9 = 3, √16 = 4, √25 = 5, √36 = 6, √49 = 7, √64 = 8, √81 = 9, √100 = 10. For non-perfect squares, the result is irrational (e.g. √2 ≈ 1.41421356).

FAQ

What is a perfect square?

A perfect square is an integer whose square root is also an integer. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

Can I take the square root of a negative number?

Not in the real number system. The square root of a negative number is imaginary (e.g. √−1 = i). This calculator works with real numbers only and shows the cube root for negatives.

Embed this tool

Add this tool to your website by copying the snippet below.

<iframe
  src="https://purr.tools/en/embed/square-root-calculator"
  width="100%"
  height="500"
  style="border:0;border-radius:8px;"
  loading="lazy"
  title="Square Root Calculator — Free Online Tool"
  allow="clipboard-write"
></iframe>