Question

3 multiple choice 10 points \\(sqrt{48}\\) \\(5sqrt{5}\\) \\(4sqrt{3}\\) \\(3sqrt{3}\\) \\(6sqrt{2}\\)

Explanation:

Step1: Factor 48 into squares

We know that \( 48 = 16\times3 \), where \( 16 \) is a perfect square.

Step2: Apply square - root property

Using the property of square roots \( \sqrt{ab}=\sqrt{a}\times\sqrt{b} \) (\( a\geq0,b\geq0 \)), we have \( \sqrt{48}=\sqrt{16\times3}=\sqrt{16}\times\sqrt{3} \).
Since \( \sqrt{16} = 4 \), then \( \sqrt{48}=4\sqrt{3} \).

Answer:

B. \( 4\sqrt{3} \) (assuming the second option is labeled as B, with the text \( 4\sqrt{3} \))