Add the following radicals. Give the answer in simplest radical form. 4√3+2√48 (1 point) Responses 12√6 12√3 36√3 6√51

Answer 1

To simplify the expression \( 4\sqrt{3} + 2\sqrt{48} \), we first simplify \( \sqrt{48} \):

\[ \sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \cdot \sqrt{3} = 4\sqrt{3} \]

Now, substitute \( \sqrt{48} \) back into the expression:

\[ 2\sqrt{48} = 2 \cdot 4\sqrt{3} = 8\sqrt{3} \]

Now we can add the two terms:

\[ 4\sqrt{3} + 8\sqrt{3} = (4 + 8)\sqrt{3} = 12\sqrt{3} \]

The final answer in simplest radical form is:

\[ \boxed{12\sqrt{3}} \]