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Square, cube and nth roots.
A root calculator finds the square root, cube root or any n-th root of a number. The n-th root answers the question: what value, multiplied by itself n times, gives this number?
Roots are the inverse of exponents and are used constantly in geometry (side lengths from areas), statistics (standard deviation) and physics.
An even root of a negative number has no real value. An odd root of a negative number is real and negative, e.g. ∛(−27) = −3.
No real number multiplied by itself gives a negative result, so a real square root does not exist. Such values belong to complex numbers, which this tool does not cover.
Yes — the n-th root of x equals x raised to the power 1/n. That identity is exactly how the result is computed.
It can, and the result is still x^(1/n). Whole-number indices are the most common, but fractional indices are handled for positive numbers.