simplify.\n7\\sqrt{20}

Explanation:

Step1: Factorize the number inside the square - root

We know that (20 = 4\times5), so (7\sqrt{20}=7\sqrt{4\times5}).

Step2: Use the property of square - roots (\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}) ((a = 4), (b = 5))

Since (\sqrt{4\times5}=\sqrt{4}\cdot\sqrt{5}) and (\sqrt{4}=2), then (7\sqrt{4\times5}=7\times\sqrt{4}\times\sqrt{5}=7\times2\times\sqrt{5}).

Step3: Calculate the product

(7\times2\times\sqrt{5}=14\sqrt{5}).

Answer:

(14\sqrt{5})