Question

question 1 of 5
select the correct answer.
simplify the following radical expression.
√48
16√3
4√3
4√2
6√2

Explanation:

Step1: Factor the radicand

Factor 48 into a perfect square and another number: \( 48 = 16 \times 3 \)

Step2: Apply square root property

Use the property \( \sqrt{ab}=\sqrt{a}\times\sqrt{b} \) (where \( a\geq0, b\geq0 \)): \( \sqrt{48}=\sqrt{16\times3}=\sqrt{16}\times\sqrt{3} \)

Step3: Simplify the perfect square root

Since \( \sqrt{16} = 4 \), we get \( \sqrt{48}=4\sqrt{3} \)

Answer:

\( 4\sqrt{3} \) (corresponding to the option "4√3")