find the square root of 200

The square root of 200 can be simplified as follows:

\[ \sqrt{200} = \sqrt{100 \times 2} = \sqrt{100} \times \sqrt{2} = 10\sqrt{2} \]

To get an approximate numerical value, you can calculate:

\[ \sqrt{200} \approx 14.14 \]

So, the square root of 200 is \(10\sqrt{2}\) or approximately \(14.14\).