Step 1 :The problem is asking for the roots of the equation \(y=\sqrt{x+14}\). The roots of an equation are the values of \(x\) that make the equation equal to zero. In other words, we need to find the values of \(x\) for which \(y=0\). This means we need to solve the equation \(\sqrt{x+14}=0\).
Step 2 :The root of the equation is -14. This means that when \(x = -14\), the equation \(y=\sqrt{x+14}\) equals to 0. This is the root of the equation.
Step 3 :Final Answer: The root of the equation \(y=\sqrt{x+14}\) is \(\boxed{-14}\).