Question

4sqrt6+sqrt54

Answer 1

To simplify \( 4\sqrt{6} + \sqrt{54} \), we start by simplifying \( \sqrt{54} \):

\[
\sqrt{54} = \sqrt{9 \cdot 6} = \sqrt{9} \cdot \sqrt{6} = 3\sqrt{6}
\]

Now substitute \( \sqrt{54} \) back into the expression:

\[
4\sqrt{6} + \sqrt{54} = 4\sqrt{6} + 3\sqrt{6}
\]

Now, combine the like terms:

\[
(4 + 3)\sqrt{6} = 7\sqrt{6}
\]

Thus, the simplified form of \( 4\sqrt{6} + \sqrt{54} \) is:

\[
\boxed{7\sqrt{6}}
\]