Question

solve the equation \\(\frac{x}{\sqrt{4x}} = 1\\) to find the value of \\(x\\).

Explanation:

Step1: Simplify the denominator

$\sqrt{4x} = 2\sqrt{x}$

Step2: Rewrite the equation

$\frac{x}{2\sqrt{x}} = 1$

Step3: Simplify the left side

$\frac{\sqrt{x} \cdot \sqrt{x}}{2\sqrt{x}} = \frac{\sqrt{x}}{2} = 1$

Step4: Solve for $\sqrt{x}$

$\sqrt{x} = 2$

Step5: Square both sides

$x = 2^2 = 4$

Answer:

4