simplify. \n\\sqrt{45}

Explanation:

Step1: Factor 45 into prime factors

We know that (45 = 9\times5), and (9 = 3^2). So we can rewrite (\sqrt{45}) as (\sqrt{9\times5}).

Step2: Use the property of square roots (\sqrt{ab}=\sqrt{a}\times\sqrt{b}) (where (a\geq0,b\geq0))

Applying this property, we get (\sqrt{9\times5}=\sqrt{9}\times\sqrt{5}).

Step3: Simplify (\sqrt{9})

Since (3^2 = 9), (\sqrt{9}=3). So the expression becomes (3\sqrt{5}).

Answer:

(3\sqrt{5})