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

58–√
5 Start Root 8 End Root

48–√ + 28−−√
4 Start Root 8 End Root plus Start Root 28 End Root

544−−√
5 Start Root 44 End Root

416−−√ + 28−−√

Answers

Answered by GPT-4o mini
Let's simplify the expression \(2\sqrt{8} + \sqrt{28} + 2\sqrt{8}\).

First, combine the \(2\sqrt{8}\) terms:

\[
2\sqrt{8} + 2\sqrt{8} = 4\sqrt{8}
\]

Next, we can simplify \(\sqrt{8}\) and \(\sqrt{28}\):

1. \(\sqrt{8} = \sqrt{4 \cdot 2} = 2\sqrt{2}\)
2. \(\sqrt{28} = \sqrt{4 \cdot 7} = 2\sqrt{7}\)

Now, substitute these back into the expression:

\[
4\sqrt{8} + \sqrt{28} = 4(2\sqrt{2}) + 2\sqrt{7}
\]
\[
= 8\sqrt{2} + 2\sqrt{7}
\]

This is the simplified form of the expression. Therefore, the answer is:

\[
8\sqrt{2} + 2\sqrt{7}
\]
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