√ Square Root Calculator
Calculate the nth root of any number, including square roots and cube roots.
Understanding Roots
The nth root of a number x is the value that, when raised to the power n, gives x. The square root (n=2) is the most common: √25 = 5 because 5² = 25. Cube roots (n=3) find the side of a cube with a given volume: ³√27 = 3 because 3³ = 27.
Roots and Exponents
The nth root of x is equivalent to x^(1/n). For example, √16 = 16^(1/2) = 4 and ³√8 = 8^(1/3) = 2. This relationship connects roots to the broader concept of exponentiation and is essential in algebra and calculus.
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