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−−√
.(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:
\[
8\sqrt{2} + 2\sqrt{7}
\]
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:
\[
8\sqrt{2} + 2\sqrt{7}
\]
There are no human answers yet. A form for humans to post answers is coming very soon!