Solve the Radical Equation: √50/√x = 5

To solve the given equation, $\frac{\sqrt{50}}{\sqrt{x}} = 5$, we will follow these steps:

• Step 1: Multiply both sides by $\sqrt{x}$ to isolate $\sqrt{x}$:
  $\sqrt{50} = 5\sqrt{x}$.
• Step 2: Divide both sides by 5 to solve for $\sqrt{x}$:
  $\sqrt{x} = \frac{\sqrt{50}}{5}$.
• Step 3: Simplify $\frac{\sqrt{50}}{5}$:
  $\sqrt{50} = \sqrt{25 \times 2} = \sqrt{25}\sqrt{2} = 5\sqrt{2}$. Thus, $\frac{5\sqrt{2}}{5} = \sqrt{2}$.
• Step 4: Square both sides to solve for $x$:
  $x = (\sqrt{2})^2 = 2$.

Now, compare with the provided choices:
Choice b is $\sqrt{4}$, which simplifies to 2.
Choice c is 2. Both represent the correct answer.

Therefore, the correct answer is Answers b and c.