Adding radical expressions

How is adding radical expressions similar to adding polynomial expressions?

You add the numbers in front of the radical signs, just as you 
add the coefficients in front of the like variables 

Notice the similarities:

3 cats + 2 cats = 5 cats
3x + 2x = 5x
3√2 + 2√2 = 5√2 

1 dog + 6 dogs - 4 dogs = 3 dogs
x + 6x - 4x = 3x
√5 + 6√5 - 4√5 = 3√5

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