Root Calculator
The root calculator is sure to become your favorite tool to find the n-th root of a given number.
Root8.4852813742the 2nd root of 72
Check72the root raised back to the power
Simplified radical6√2exact form
Is it exact?No, irrational
Square root8.4852813742
Cube root4.1601676461
The method
the nth root of x is the number that, raised to n, gives x
Simplifying a radical
Pull out any factor that appears the root-index number of times. For √72, factor into 2³·3² — the 3² comes out as a 3 and one 2 comes out paired, leaving 6√2. The value is unchanged; the form is exact where the decimal is not.