How do you simplify #sqrt(4783)#?

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Answer 1 · 2016-04-29T12:28:03

#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 #sqrt(4783)#

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