# How do you simplify sqrt(-13)*sqrt(-26)?

$\sqrt{- 1} \times \sqrt{13} \times \sqrt{- 1} \times \sqrt{13} \times \sqrt{2} = \left(- 1\right) \left(13\right) \sqrt{2} = - 13 \sqrt{2}$

#### Explanation:

We have:

$\sqrt{- 13} \times \sqrt{- 26}$

Let's first break this down into some smaller pieces:

$\sqrt{- 13} \times \sqrt{- 26} = \sqrt{- 1} \times \sqrt{13} \times \sqrt{- 1} \times \sqrt{13} \times \sqrt{2}$

We can now multiply the $\sqrt{- 1}$ together as well as the $\sqrt{13}$ to get:

$\sqrt{- 1} \times \sqrt{13} \times \sqrt{- 1} \times \sqrt{13} \times \sqrt{2} = \left(- 1\right) \left(13\right) \sqrt{2} = - 13 \sqrt{2}$