How do you add #3sqrt8 + 5sqrt8?#?

1 Answer
Apr 13, 2018

Answer:

#16sqrt2#

Explanation:

Since both expressions have the same number under the radical, we can add the two expressions:

#3 + 5 = 8#, so it becomes:
#8sqrt8#

If you want to simplify this further, you can radicalize #sqrt8#.
#=> 8sqrt8#

#=> 8sqrt(4 * 2)#

#=> 8 * 2 sqrt2#

#=> 16sqrt2#

Hope this helps!