Square Root Calculator
Calculate square roots with decimal precision and simplified radical form. Also supports cube roots and nth roots.
Result (Decimal)
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Simplified Radical
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Perfect Square?
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Squared (verify)
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How to Use the Square Root Calculator
- Enter a number: Type the number you want to find the root of.
- Choose the root index: Use 2 for square root, 3 for cube root, or any positive integer.
- View results: See the decimal value and the simplified radical form instantly.
Common Perfect Squares
| Number | Square Root |
|---|---|
| 4 | 2 |
| 9 | 3 |
| 16 | 4 |
| 25 | 5 |
| 36 | 6 |
| 49 | 7 |
| 64 | 8 |
| 81 | 9 |
| 100 | 10 |
| 144 | 12 |
Frequently Asked Questions
What is a simplified radical?
A simplified radical extracts perfect square factors from under the radical sign. For example, the square root of 72 = the square root of (36 × 2) = 6 times the square root of 2.
Can I calculate the square root of a negative number?
Square roots of negative numbers produce imaginary results. This calculator handles negative inputs for odd roots (like cube roots) but will indicate imaginary results for even roots of negative numbers.
What is an nth root?
The nth root of a number x is a value that, when raised to the power n, gives x. For example, the cube root (3rd root) of 27 is 3 because 3³ = 27.