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Number roots

Square Root Calculator

Find the square root of a number and quickly see whether it is a perfect square.

Interactive calculator

Find the square root of a number

Calculate exact or decimal square roots and quickly see whether the number is a perfect square.

Results

Square root

12

Perfect square

Yes

Nearest lower square

144

Nearest upper square

144

How to use it

  1. 01Enter the number you want to evaluate.
  2. 02Review the decimal square root immediately.
  3. 03Use the perfect-square result and nearby square values for context.

Result guide

  • Perfect squares have whole-number square roots.
  • Non-perfect squares still have valid decimal roots.
  • Nearby perfect squares help estimate and verify the result quickly.

About this calculator

Square-root searches are a classic high-volume math utility need across schoolwork, technical use, and quick checks.

A production-ready page should handle both exact perfect-square checks and decimal roots for non-perfect squares.

Frequently asked questions

What happens for negative numbers?

This page is limited to real-number square roots, so negative inputs are treated as undefined here.

Why show nearby perfect squares too?

They make the result easier to sanity-check and are useful in classroom and estimation contexts.

Is this only for students?

No. It is also useful in engineering, finance, and quick numerical checks.

Method and limitations

This calculator uses the formula and assumptions described on this page. We do not claim independent professional review. Direct references will be listed here when they support a specific rule or data source used by this calculator.

Results are estimates for general information. Verify current rules and assumptions before making financial, tax, or health decisions.

Read our Editorial and Verification Policy →

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