Radical Calculator
Use this radical calculator (or root calculator) to estimate the nth root of any positive 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.