Question

Add 2 sqrt8+3sqrt8

Answer 1

To add \(2\sqrt{8} + 3\sqrt{8}\), you can combine the like terms.

First, note that both terms have \(\sqrt{8}\):

\[
2\sqrt{8} + 3\sqrt{8} = (2 + 3)\sqrt{8} = 5\sqrt{8}
\]

Now, \(\sqrt{8}\) can be simplified. Since \(\sqrt{8} = \sqrt{4 \times 2} = \sqrt{4} \cdot \sqrt{2} = 2\sqrt{2}\), you can substitute this back in:

\[
5\sqrt{8} = 5 \cdot 2\sqrt{2} = 10\sqrt{2}
\]

So, the result is:

\[
2\sqrt{8} + 3\sqrt{8} = 10\sqrt{2}
\]