The Root Calculator solves for the principal nth root of any positive or real number. Taking the nth root of a number x corresponds to solving the equation rⁿ = x, or equivalently evaluating x^(1/n) in fractional exponent algebra.
Radicals of negative numbers yield complex imaginary solutions when n is even (e.g. √−4 = 2i), while odd roots yield real negative numbers (e.g. ³√−8 = −2). For general exponents and powers, explore our Exponent Calculator.
Frequently Asked Questions
Is √2 a rational number?
No. √2 is irrational (approximately 1.41421356...). It cannot be expressed as a fraction p/q of integers.
📐Algebra, Powers & Logarithms Cluster
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