How do you multiply #sqrt(-20) times sqrt(-5) #?
First, Factor Out
Negative numbers under square roots aren't pretty. Now, we know that
Then, Multiply the Radicals
To multiply radicals, simply multiply the numbers inside them, and put a radical over the result, as shown below:
Note that you can only multiply radicals like this when the radicals are of the same power. If one of your radicals was a cube root instead of a square root, for example, you would not be able to multiply them this way.
Lastly, Deal with
Don't forget our
Now, we just tag this on to the result from step 2, and we're done!
Hope that helped :)