Is it possible to simplify #sqrt(6)# ?

1 Answer
Nov 12, 2016

No, #sqrt(6)# is already in simplest form.

Explanation:

The prime factorisation of #6# is #6 = 2 xx 3#

This contains no square factors, so there is nothing we can helpfully "move outside" the square root.

You can express it as a product of square roots, i.e.:

#sqrt(6) = sqrt(2*3) = sqrt(2) sqrt(3)#

but that would not generally be considered 'simpler'.