Square Root Calculator
Calculate the square root, cube root, and fourth root of any number. Instantly check if a number is a perfect square.
Square Root (√)
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Cube Root (∛) —
Fourth Root (∜) —
Perfect Square? —
Extended More scenarios, charts & detailed breakdown ▾
Square Root (√)
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Cube Root (∛) —
Fourth Root (∜) —
Fifth Root —
Perfect Square? —
Perfect Cube? —
Professional Full parameters & maximum detail ▾
Root Results
nth Root of Each —
Min Root Result —
Max Root Result —
Mean of Root Results —
Perfect Powers
Perfect Squares in List —
Perfect Cubes in List —
How to Use This Calculator
Enter any non-negative number in the Number field. The calculator instantly shows the square root, cube root, fourth root, and whether the number is a perfect square.
Formula
√n = n^(1/2) • ∛n = n^(1/3) • ∜n = n^(1/4)
Example
√144 = 12, ∛27 = 3, ∜81 = 3, √2 ≈ 1.4142135624
Frequently Asked Questions
- The square root of a number n is the value x such that x² = n. For example, √25 = 5 because 5² = 25.
- Not in real numbers — the square root of a negative number is imaginary. The calculator will return 0 for negative inputs.
- A perfect square is an integer whose square root is also an integer: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100…
- The cube root (∛n) is the value x such that x³ = n. Unlike square roots, cube roots of negative numbers are real: ∛(−8) = −2.
- Results are shown to 10 decimal places, which is sufficient for most practical and academic purposes.