Question

$\sqrt{x} = \sqrt{7}$

Explanation:

Step1: Square both sides

To solve for \( x \) in the equation \( \sqrt{x} = \sqrt{7} \), we square both sides of the equation. Squaring a square root cancels out the square root operation. So, \((\sqrt{x})^2 = (\sqrt{7})^2\).

Step2: Simplify both sides

Simplifying the left side, \((\sqrt{x})^2 = x\). Simplifying the right side, \((\sqrt{7})^2 = 7\). So we get \( x = 7 \).

Answer:

\( x = 7 \)