Root Calculator
Calculate square roots, cube roots, and nth roots instantly. Find the root of any number with this easy-to-use calculator.
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About Roots
In mathematics, the n-th root of a number $x$ is a number $r$ which, when raised to the power $n$, yields $x$:
rⁿ = x
- Square Root ($n=2$): The number that produces $x$ when squared. Example: $\sqrt9 = 3$ because $3^2 = 9$.
- Cube Root ($n=3$): The number that produces $x$ when cubed. Example: $\sqrt[3]8 = 2$ because $2^3 = 8$.
- N-th Root: The general term for any degree. Example: 4th root of 16 is 2.
Fractional Exponents
Roots can also be expressed as fractional exponents:
$\sqrt[n]{x} = x^{1/n}$
? Frequently Asked Questions
In the real number system, the square root of a negative number is undefined. In complex numbers, it is represented using 'i' (imaginary unit).
Yes, but only if the root degree (n) is an odd integer. For example, the cube root of -8 is -2. If n is even (like square root), the result is not a real number.
You can use the exponent function. To find the n-th root of x, calculate x to the power of (1/n). Example: 8^(1/3) = 2.