Question

Add two square root root of 8+3 square root of eight

Answer 1

To simplify the expression \(2\sqrt{8} + 3\sqrt{8}\), we can start by combining the terms since they both have the same radical part \(\sqrt{8}\).

First, factor out \(\sqrt{8}\):

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

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

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

Now, substitute \( \sqrt{8} \) back into the expression:

\[
5\sqrt{8} = 5(2\sqrt{2}) = 10\sqrt{2}
\]

So, the simplified form of \(2\sqrt{8} + 3\sqrt{8}\) is:

\[
10\sqrt{2}
\]