Square Root Calculator
Calculate the square root (√), cube root (∛), and square (n²) of any number. Shows the formula and exact result.
Results
Square Root √n12
Cube Root ∛n—
Squared n²20,736
📐 Formula
√n = n^(1/2). ∛n = n^(1/3). n² = n × n
Frequently Asked Questions
A perfect square is a number that is the product of an integer multiplied by itself. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100. The square root of a perfect square is always a whole number.
In real mathematics, no — the square root of a negative number is undefined. In complex mathematics, √−1 = i (the imaginary unit). This calculator works with real numbers only.
√n (square root) asks "what number multiplied by itself equals n?" while n² (squared) multiplies n by itself. They are inverse operations: √(n²) = n and (√n)² = n.