Question

Add the following radicals. Give the answer in simplest radical form.

4√3 +2√48

(1 point)

Answer 1

To add the radicals \( 4\sqrt{3} + 2\sqrt{48} \), we first need to simplify \( 2\sqrt{48} \).

1. Start by simplifying \( \sqrt{48} \):
\[
\sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \cdot \sqrt{3} = 4\sqrt{3}
\]

2. Now substitute back into the expression:
\[
2\sqrt{48} = 2(4\sqrt{3}) = 8\sqrt{3}
\]

3. Now we add \( 4\sqrt{3} \) and \( 8\sqrt{3} \):
\[
4\sqrt{3} + 8\sqrt{3} = (4 + 8)\sqrt{3} = 12\sqrt{3}
\]

Thus, the answer in simplest radical form is:
\[
\boxed{12\sqrt{3}}
\]