# What is sqrt106 in simplified radical form?

Aug 9, 2017

$\sqrt{106}$ is already in simplified radical form.

#### Explanation:

Factoring $106$ we find:

$106 = 2 \cdot 53$

It has no square factors and hence there is no factor we can separate out and bring outside the radical.

We could write:

$\sqrt{106} = \sqrt{2 \cdot 53} = \sqrt{2} \sqrt{53}$

but that is not (usually) considered simplified.