Question

Add and subtractin radical 3√5-2√6+2√5-3√5

Answer 1

To simplify the expression \( 3\sqrt{5} - 2\sqrt{6} + 2\sqrt{5} - 3\sqrt{5} \), we can start by combining like terms.

1. Combine the terms involving \(\sqrt{5}\):
\[
3\sqrt{5} + 2\sqrt{5} - 3\sqrt{5} = (3 + 2 - 3)\sqrt{5} = 2\sqrt{5}
\]

2. The only term involving \(\sqrt{6}\) is \(-2\sqrt{6}\), so it remains the same.

Now, we can write the simplified expression:
\[
2\sqrt{5} - 2\sqrt{6}
\]

This is the final simplified form of the expression. If further factoring is needed:
\[
2(\sqrt{5} - \sqrt{6})
\]
Thus, the final answer is:
\[
2(\sqrt{5} - \sqrt{6})
\]