How do you simplify #sqrt(4783)#?
First, you have to decompose the number in prime factors:
Since it ends with the digit 3 it is not multiple of 2 neither 5.
The sum of the digits is not multiple of 3, so it is not multiple of 3.
478-23=472; 47-22=45, not multiple of 7.
4-7+8-3=2, not multiple of 11.
There is not any simple rule for other primes, so you must do calculations completely:dividing by all primes until
You will find that 4783 is a prime number, So it cannot be simplified