Simplify √112 as much as possible.
Note
Look for the largest square factor of 112. Since 112 = 16 × 7 and √16 = 4, we get √112 = 4√7. To simplify a surd, split the number under the root into a perfect-square factor and the remaining factor. Take the square root of the perfect square outside the radical. The expression is simplified when no square factor greater than 1 remains under the root. The correct answer is 4√7, which matches the calculation or reasoning shown.
