Question

$\sqrt{7x} = 7$

Explanation:

Step1: Square both sides

To eliminate the square root, we square both sides of the equation \(\sqrt{7x} = 7\). Squaring the left side gives \( (\sqrt{7x})^2=7x\), and squaring the right side gives \(7^2 = 49\). So the equation becomes \(7x=49\).

Step2: Solve for x

Divide both sides of the equation \(7x = 49\) by 7. \(\frac{7x}{7}=\frac{49}{7}\), which simplifies to \(x = 7\).

Answer:

\(x = 7\)