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Calculate the square root, cube root, and nth root of any number. Also checks if the number is a perfect square or perfect cube.
Root Formulas:
Square root: sqrt(x) = x^(1/2)
Cube root: cbrt(x) = x^(1/3)
Nth root: x^(1/n)
Perfect square: sqrt(x) is an integer
Perfect cube: cbrt(x) is an integer
The square root of x is the number that, when multiplied by itself, gives x. For example, sqrt(25) = 5 because 5 x 5 = 25.
A perfect square is an integer whose square root is also an integer. Examples: 1, 4, 9, 16, 25, 36, 49, 64, 81, 100.
Not in the real number system. The square root of a negative number is an imaginary number. For example, sqrt(-4) = 2i, where i is the imaginary unit.
The cube root of x is the number that, when cubed, gives x. For example, cbrt(27) = 3 because 3^3 = 27. Cube roots of negative numbers are valid real numbers.
The nth root of x is a number r such that r^n = x. For example, the 4th root of 16 is 2 because 2^4 = 16. Use this to calculate any root.