Video Transcript
Simplify two plus six root five
plus nine plus eight root five.
Now, here, the parentheses aren’t
really having an effect. They’re telling you to do the
calculations in a particular order, but the operations are all additions. And because of the associativity of
addition, it will make no difference if you do them in a different order. So, we’ll just remove the
parentheses for now and then we’ll collect the like terms. Well, two and nine are the rational
numbers, and six root five and eight root five are the radical or surd terms.
So, now we’ve collected the like
terms, we can combine them. And two and nine make 11. And then, six root fives plus
another eight root fives gives us 14 root fives. So, that’s the simplified version
of our original expression.