Add 2 sqrt8+3sqrt8

1 answer

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:

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