question\nexpress in simplest radical form.\n\\sqrt{162}

Explanation:

Step1: Factor the radicand

Factor 162 to find perfect square factors. We know that (162 = 81\times2), and 81 is a perfect square ((9^2 = 81)). So, (\sqrt{162}=\sqrt{81\times2}).

Step2: Apply the square - root property

Using the property (\sqrt{ab}=\sqrt{a}\times\sqrt{b}) (where (a = 81) and (b = 2), and (a\geq0,b\geq0)), we get (\sqrt{81\times2}=\sqrt{81}\times\sqrt{2}). Since (\sqrt{81} = 9), then (\sqrt{81}\times\sqrt{2}=9\sqrt{2}).

Answer:

(9\sqrt{2})