Question: Solve the equation. \[ \sqrt{7x} = 14 \]

Solution

To solve the equation \[ \sqrt{7x} = 14 \] Square both sides of the equation to eliminate the square root. \[ (\sqrt{7x})^2 = 14^2 \] This simplifies to: \[ 7x = 196 \] Now, divide both sides by 7 to solve for \(x\). \[ x = \frac{196}{7} \] Simplify the right side: \[ x = 28 \] Therefore, the solution is \(x = 28\).