Simplify square root of 50. The simplified form of the square root of 50 is 5√2. To simplify the square root of 50, we can factor out the perfect square of 25 from 50, which gives us the expression √25 x √2. Because the square root of 25 is a whole number (5), we can take it outside of the square root and are left with 5√2. Therefore, the simplified form of the square root of 50 is 5√2.