question\nexpress in simplest radical form.\n\\sqrt{12}

question\nexpress in simplest radical form.\n\\sqrt{12}

question\nexpress in simplest radical form.\n\\sqrt{12}

Answer

Explanation:

Step1: Factor the radicand

Factor 12 into a product of a perfect square and another number: $12 = 4\times3$, where 4 is a perfect square.

Step2: Apply square root property

Use the property $\sqrt{ab}=\sqrt{a}\times\sqrt{b}$ (for $a\geq0, b\geq0$): $\sqrt{12}=\sqrt{4\times3}=\sqrt{4}\times\sqrt{3}$.

Step3: Simplify the perfect square root

Since $\sqrt{4} = 2$, we substitute that in: $2\times\sqrt{3}=2\sqrt{3}$.

Answer:

$2\sqrt{3}$