How this calculation works
Squaring a positive integer changes its exponents and leaves its radical unchanged.
THE FORMULA
rad(n) = product of distinct primes dividing nA worked example
72 = 2³ × 3², so its radical is 2 × 3 = 6.
Good to know
The radical of 1 is 1.
Reference: NIST DLMF, Functions of Number Theory (opens in a new tab) ↗
Read the result
Remove repeated prime factors while keeping each prime once.
The primary result is labeled “Squarefree radical”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The radical of 1 is 1.
For a related exercise, try the greatest common divisor.
A few questions, answered
How can I check the default inputs by hand?
72 = 2³ × 3², so its radical is 2 × 3 = 6.
Which rule does this calculator apply?
rad(n) = product of distinct primes dividing n