# How do you simplify sqrt(4783)?

Apr 29, 2016

$\sqrt{4783}$

#### 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.

478-23=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 $\sqrt{4783}$

You will find that 4783 is a prime number, So it cannot be simplified