Question

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

Answer 1

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'.