Square Root Calculator
Find the square root or any nth root of a number online. Get the decimal value and the simplified radical form where it comes out clean, all in your browser.
Result
√72 = 8.4852813742 = 6√2
What is the Square Root Calculator?
The ByteTools Square Root Calculator finds the square root of any non-negative number and, optionally, any higher root.
- Square root and any nth root
- Decimal value to high precision
- Simplified radical form like 6√2 for square roots
- Guards against roots of negative numbers
- Handles decimals and large numbers
- 100% private — runs entirely in your browser
How to use the Square Root Calculator
- 1
Enter the number you want the root of.
- 2
Leave the root index at 2 for a square root, or change it for cube and higher roots.
- 3
Read the decimal value of the root.
- 4
Check the simplified radical form when the number reduces cleanly.
- 5
Click Copy to grab the result.
About the Square Root Calculator
The ByteTools Square Root Calculator finds the square root of any non-negative number and, optionally, any higher root. It gives the decimal value and, where the number simplifies neatly, the exact radical form such as √72 = 6√2, so you get both a usable figure and an exact answer.
It suits students simplifying surds, engineers needing precise roots and anyone verifying a calculation. Switch the root index to compute cube roots and beyond, with the same clear decimal output.
The calculation runs entirely in your browser with JavaScript — no numbers are uploaded and there is no server round trip. Copy either form of the answer with one click.
Frequently asked questions
How do you calculate a square root?
The square root of a number is the value that, multiplied by itself, gives that number. The square root of 25 is 5 because 5 × 5 = 25. For numbers that are not perfect squares, the calculator returns a precise decimal approximation.
How do you simplify a square root into radical form?
Factor out the largest perfect square. For √72, the largest perfect square factor is 36, so √72 = √(36 × 2) = 6√2. The calculator does this automatically and shows the simplified surd when one exists.
Can you take the square root of a negative number?
Not within the real numbers, because no real value squared gives a negative result. The square root of a negative number is imaginary. This calculator works with real numbers, so it flags negative inputs rather than returning a complex value.
What is an nth root?
An nth root reverses raising to the nth power. The cube root (n = 3) of 27 is 3 because 3³ = 27. Set the root index above 2 to compute cube roots, fourth roots and higher with the same tool.
What is a perfect square?
A perfect square is a number whose square root is a whole number, such as 4, 9, 16 and 25. For these the calculator returns an exact integer; for everything else it returns a decimal and, for square roots, a simplified radical.
Guides for Square Root Calculator
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