Radical Operator

The radical operator returns the n-th root of the provided expression. The radical operator is an alternative way of writing a fractional exponent.

If no number is provided above the radical sign then the square root operation is implied, meaning that .

Examples

Square Root Examples

Cube Root Examples

Exponents, Logarithms and Radicals

The exponential operator is closely related to the logarithm and radical operators. For example, given the scenario of exponential population growth, the relationship between the three operators is expressed below. Note, in this hypothetical scenario the initial population is represented with the value of .

Equation Operator
Exponent
Given the growth rate and the time elapsed, the exponent operator returns the population.
Logarithm
Given the growth rate and the population the logarithm operator returns the time elapsed.
Radical
Given the time elapsed and the population the radical operator returns the growth rate.