Question

Add 2√8 + √28 + 2√8
.(1 point)
Responses


5 Start Root 8 End Root

4 Start Root 8 End Root plus Start Root 28 End Root

5 Start Root 44 End Root

4√16 + √28

Answer 1

Let's simplify the expression step by step:

1. Combine the like terms:
\[
2\sqrt{8} + 2\sqrt{8} + \sqrt{28} = 4\sqrt{8} + \sqrt{28}
\]

2. Now, let's simplify \(\sqrt{8}\) and \(\sqrt{28}\):
- \(\sqrt{8} = \sqrt{4 \cdot 2} = 2\sqrt{2}\)
- \(\sqrt{28} = \sqrt{4 \cdot 7} = 2\sqrt{7}\)

3. Substitute those back into the expression:
\[
4\sqrt{8} + \sqrt{28} = 4(2\sqrt{2}) + 2\sqrt{7} = 8\sqrt{2} + 2\sqrt{7}
\]

So the answer is:
\[
8\sqrt{2} + 2\sqrt{7}
\]

None of the provided options directly match this final result. However, if we were to simplify \(4\sqrt{8} + \sqrt{28}\), we could keep it in that form. It looks like \(4\sqrt{8} + \sqrt{28}\) would be the response that reflects the calculations.