Square Root Calculator
Calculate square roots, cube roots, and nth roots instantly. Perfect for mathematics, geometry, algebra, and scientific calculations.
Square Root Calculator
How to Use This Calculator
Enter a number and select the root type (square, cube, fourth, or fifth). The calculator will compute the root and verify the result. For square roots, enter the number you want to find the root of (radicand).
Understanding Square Roots
The square root of a number x is a value that, when multiplied by itself, equals x. For example, โ16 = 4 because 4 ร 4 = 16. Square roots are denoted by the radical symbol (โ). Perfect squares have whole number square roots.
Cube Roots and Nth Roots
Cube root (โ) finds a number that when multiplied by itself three times equals the original. The nth root finds a number that when raised to the power n equals the original. Formula: โฟโx = x^(1/n). Useful for advanced mathematical calculations.
Common Applications
Used in geometry (finding side lengths), physics (calculating velocity, distance), engineering (power and energy calculations), finance (compound interest), statistics (standard deviation), and computer graphics (distance calculations, normalization).
Perfect Squares and Approximations
Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100…) have exact whole number square roots. Other numbers have irrational square roots (infinite non-repeating decimals). The calculator provides accurate approximations for all numbers.
Frequently Asked Questions
Q: Can I find square root of negative numbers? A: Yes for odd roots (cube root of -8 is -2). For even roots, result would be imaginary. Q: Why two roots? A: Positive and negative both work (ยฑ), calculator shows principal (positive). Q: What’s a perfect square? A: Number with whole number square root.