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Square Root Calculator

Calculate square roots, cube roots and nth roots of any number. Also find the square, cube and nth power of any number with full decimal precision.

⚡ Instant results 🔒 Runs in your browser 📋 Copy & download ✅ Free, no sign-up
Square Root Calculator
Enter values and click Calculate

📚How to Use

  1. 1
    Enter your values

    Enter the number and the root degree (n). Leave n as 2 for square root, 3 for cube root.

  2. 2
    Click Calculate

    Press Calculate. All results appear instantly in your browser. No data is sent to any server.

  3. 3
    Review and save results

    See your complete results with all key figures. Use Copy or Download to save them for your records.

📊Quick Reference

OperationFormula
Mean (average)Sum / Count
MedianMiddle value (sorted)
ModeMost frequent value
RangeMax - Min

Frequently Asked Questions

What is a square root?

The value that when multiplied by itself gives the original number. Square root of 25 is 5 because 5x5=25.

What is a perfect square?

An integer that is the square of another integer: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.

How do I calculate a square root by hand?

Use estimation and refinement. For root of 50: 7 squared = 49, 7.07 squared = 49.98.

What is a cube root?

The value that multiplied by itself three times gives the original. Cube root of 27 is 3.

What is an nth root?

An nth root of x is r such that r to the power of n equals x. The 4th root of 81 is 3.

Why is the square root of a negative number not real?

Squaring any real number gives a positive result. Square root of -1 is imaginary (i).

How do I simplify surds?

Find the largest perfect square factor. Root of 48 = root of (16x3) = 4 x root of 3.

What is the square root of 2?

Approximately 1.41421356... It is irrational — its decimal expansion never terminates.