# How do you simplify #sqrt(4783)#?

##### 1 Answer

Apr 29, 2016

#### Explanation:

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.

478-2*3=472; 47-2*2=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