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HomemathSquare Root Calculator

Square Root Calculator

Calculate the square root, cube root, or any nth root of any positive number.

Our free Square Root Calculator lets you calculate the square root, cube root, or any nth root of any positive number. It is built for students, teachers, engineers, and professionals who need fast, reliable math results who need fast, reliable results without installing software or creating an account.

Square Root Calculator runs entirely in your browser on CalculatorsPlus — enter your values, get instant results, and copy or share your output in one click. Your data never leaves your device; we do not store inputs on any server.

Use the square root calculator to verify manual work, explore "what if" scenarios, and save time on repetitive calculations. For learning, try solving the problem by hand first, then check your answer here.

Results update in real time as you change inputs, so you can explore "what if" scenarios — adjust one variable at a time to see how it affects the outcome before committing to a purchase, plan, or decision.

This page includes step-by-step instructions, frequently asked questions, and practical tips below the calculator. Bookmark it for repeat use — many math tasks come up weekly during projects, studies, or financial planning.

Or enter a custom root (e.g. 5 for 5th root)

Common Uses

  • ✓Homework verification and exam preparation
  • ✓Quick checks during work, shopping, or DIY projects
  • ✓Teaching demonstrations and classroom examples
  • ✓Engineering and spreadsheet formula validation

How to Use the Square Root Calculator

  1. 1

    Enter the number

    Input the positive number you want to find the root of.

  2. 2

    Select root type

    Choose square root (2), cube root (3), or enter a custom nth root.

  3. 3

    View the result

    See the exact and decimal result instantly.

💡 Tips & Tricks

  • •Memorize perfect squares up to 20 for quick mental math.
  • •The square root of a fraction: √(a/b) = √a / √b.
  • •Use the nth root for financial calculations like compound growth rates.

Frequently Asked Questions

What is a square root?
The square root of a number n is a value x such that x² = n. For example, √25 = 5 because 5² = 25.
What is a perfect square?
A perfect square is a number whose square root is a whole integer. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
Can I calculate cube roots?
Yes, this calculator supports cube roots (∛n) and any nth root. Enter the number and select the root degree.
What is the square root of a negative number?
The square root of a negative number is an imaginary number (e.g., √-1 = i). Real-number square roots only exist for non-negative numbers.

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