5square root of 3 minus 6 square root of 5+ 2 square root of 3

Answer 1

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

First, combine the terms with \(\sqrt{3}\):

\[ 5\sqrt{3} + 2\sqrt{3} = (5 + 2)\sqrt{3} = 7\sqrt{3} \]

Now, rewrite the expression with the combined \(\sqrt{3}\) term:

\[ 7\sqrt{3} - 6\sqrt{5} \]

So, the simplified expression is:

\[ 7\sqrt{3} - 6\sqrt{5} \]