Simplify the square root of 200?

Answer 1

√200 = 10√2. In order to simplify square roots, you find what factors of the number under the radical sign you can take the square root of. In the case of 200, its factors are 5 * 2 * 2 * 5 * 2. You can take the square root of 2 * 2 and 5 * 5, which are 2 and 5, respectively. 2 and 5 are on the outside of the radical sign, so you multiply them together to equal 10, while the remaining 2 stays under the radical.