question\nexpress in simplest radical form.\n\\sqrt{108}

question\nexpress in simplest radical form.\n\\sqrt{108}

question\nexpress in simplest radical form.\n\\sqrt{108}

Answer

Explanation:

Step1: Factorize the number inside the square root

Factorize (108) as (36\times3). So, (\sqrt{108}=\sqrt{36\times3}).

Step2: Use the property of square roots (\sqrt{ab}=\sqrt{a}\times\sqrt{b}) ((a = 36), (b = 3))

We know that (\sqrt{36\times3}=\sqrt{36}\times\sqrt{3}). Since (\sqrt{36}=6), then (\sqrt{36}\times\sqrt{3}=6\sqrt{3}).

Answer:

(6\sqrt{3})