# Is it possible to simplify sqrt(6) ?

Nov 12, 2016

No, $\sqrt{6}$ is already in simplest form.

#### Explanation:

The prime factorisation of $6$ is $6 = 2 \times 3$

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.:

$\sqrt{6} = \sqrt{2 \cdot 3} = \sqrt{2} \sqrt{3}$

but that would not generally be considered 'simpler'.