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

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Answer 1 · 2018-04-13T18:34:13

#16sqrt2#

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!