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\sqrt{5}-2-2\sqrt{5}-\left(-4\right)+3\sqrt{5}+2
To find the opposite of 2\sqrt{5}-4, find the opposite of each term.
-\sqrt{5}-2-\left(-4\right)+3\sqrt{5}+2
Combine \sqrt{5} and -2\sqrt{5} to get -\sqrt{5}.
-\sqrt{5}-2+4+3\sqrt{5}+2
The opposite of -4 is 4.
-\sqrt{5}+2+3\sqrt{5}+2
Add -2 and 4 to get 2.
2\sqrt{5}+2+2
Combine -\sqrt{5} and 3\sqrt{5} to get 2\sqrt{5}.
2\sqrt{5}+4
Add 2 and 2 to get 4.