simplify. \n\\sqrt{50}

simplify. \n\\sqrt{50}

simplify. \n\\sqrt{50}

Answer

Explanation:

Step1: Factorize the number inside the square root

Factorize (50) as (25\times2). So, (\sqrt{50}=\sqrt{25\times2}).

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

We get (\sqrt{25\times2}=\sqrt{25}\times\sqrt{2}).

Step3: Simplify (\sqrt{25})

Since (\sqrt{25} = 5), then (\sqrt{25}\times\sqrt{2}=5\sqrt{2}).

Answer:

(5\sqrt{2})