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Adding Radicals

Q: How do I add radicals like this: 2sqrt{5}+4sqrt{5} ?

A:
2sqrt{5}+4sqrt{5}
=(2+4)sqrt{5}
=6sqrt{5}

Note that this is analogous to 2x + 4x = 6x, where the sqrt{5} terms act similar to the variable x.

Let’s look at some more examples:

7sqrt{3}+sqrt{3}
=(7+1)sqrt{3}
=8sqrt{3}