Radicals and Roots Calculator
Find any root of any number instantly. Whether you need a simple square root or a complex 10th root, this calculator provides precise results.
What is a radical in math?
A radical is a mathematical symbol (√) used to represent the root of a number. The small number outside the radical (n) is called the index, and the number inside is called the radicand.
Can you take the root of a negative number?
If the index (n) is odd, you can take the root of a negative number (e.g., ∛-8 = -2). If the index is even, the root of a negative number is not a real number (it is an imaginary number).
What is the nth root formula?
The nth root of x can be written as ⁿ√x or as a fractional exponent x^(1/n). Both representations are mathematically equivalent.
How do I simplify a radical?
To simplify a radical, look for perfect nth powers that are factors of the radicand. For example, to simplify √50, you can write it as √(25 × 2), which equals 5√2.