simplify. \n\\sqrt{72}

Explanation:

Step1: Factorize the number inside the square root

We know that (72 = 36\times2). So, (\sqrt{72}=\sqrt{36\times2}).

Step2: Use the property (\sqrt{ab}=\sqrt{a}\times\sqrt{b}) ((a = 36), (b = 2))

By the property (\sqrt{ab}=\sqrt{a}\times\sqrt{b}) ((a\geq0,b\geq0)), we have (\sqrt{36\times2}=\sqrt{36}\times\sqrt{2}). Since (\sqrt{36} = 6), then (\sqrt{36}\times\sqrt{2}=6\sqrt{2}).

Answer:

(6\sqrt{2})