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

Question

4√3+2√ 48

(1 point)
Responses

363–√
36 square root of 3

123–√
12 square root of 3

126–√
12 square root of 6

651−−√

Answer 1

To simplify the expression \( 4\sqrt{3} + 2\sqrt{48} \), we start by simplifying \( \sqrt{48} \).

1. Simplify \( \sqrt{48} \): \[ \sqrt{48} = \sqrt{16 \times 3} = \sqrt{16} \times \sqrt{3} = 4\sqrt{3} \]

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

3. Combine the terms: Now we can combine: \[ 4\sqrt{3} + 8\sqrt{3} = (4 + 8)\sqrt{3} = 12\sqrt{3} \]

The final answer in simplest radical form is: \[ \boxed{12\sqrt{3}} \]