question\nexpress in simplest radical form.\n$sqrt{18}$

question\nexpress in simplest radical form.\n$sqrt{18}$

question\nexpress in simplest radical form.\n$sqrt{18}$

Answer

Explanation:

Step1: Factor the number inside the square - root

We know that (18 = 9\times2), so (\sqrt{18}=\sqrt{9\times2}).

Step2: Use the property of square - roots (\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}) ((a = 9), (b = 2))

(\sqrt{9\times2}=\sqrt{9}\cdot\sqrt{2}).

Step3: Simplify (\sqrt{9})

Since (\sqrt{9}=3), then (\sqrt{9}\cdot\sqrt{2}=3\sqrt{2}).

Answer:

(3\sqrt{2})