Simplify: 2818

Firstly, remember that we can combine square roots. I.e. ${\displaystyle \sqrt{8}\sqrt{18}}$ is the same thing as ${\displaystyle \sqrt{8\times 18}}$.
Now let's factor that 8 and 18. The 8 can be factored as ${\displaystyle 8=2\times 2\times 2}$ and the 18 as ${\displaystyle 18=2\times 3\times 3}$
Thus ${\displaystyle 2\sqrt{8}\sqrt{18}=2\sqrt{8}\times 18=2\sqrt{2}\times 2\times 2\times 2\times 3\times 3}$
Now remember that every pair of the same number can be pulled out from under the square root. For example, ${\displaystyle \sqrt{2}\times 2=2}$. With this in mind,${\displaystyle 2\sqrt{2}\times 2\times 2\times 2\times 3\times 3=2\times 2\times 2\times 3=24}$
And we're done!