simplify. \n\\sqrt{245}

Explanation:

Step 1: Factor the number inside the square root

We need to factor 245 into a product of a perfect square and another number. We know that (245 = 49\times5), where 49 is a perfect square ((7^2)). So we can rewrite (\sqrt{245}) as (\sqrt{49\times5}).

Step 2: Use the property of square roots (\sqrt{ab}=\sqrt{a}\times\sqrt{b}) (for (a\geq0,b\geq0))

Applying the property (\sqrt{ab}=\sqrt{a}\times\sqrt{b}) to (\sqrt{49\times5}), we get (\sqrt{49}\times\sqrt{5}). Since (\sqrt{49} = 7) (because (7^2 = 49)), the expression simplifies to (7\sqrt{5}).

Answer:

(7\sqrt{5})