Question

which value of n makes the following equation true?
$sqrt{n}=4$
options: 2, 4, 8, 16

Explanation:

Step1: Square both sides of the equation

Given \(\sqrt{n} = 4\), to solve for \(n\), we square both sides of the equation. Squaring a square root cancels out the square root operation. So we have \((\sqrt{n})^2 = 4^2\).

Step2: Simplify both sides

Simplifying the left side, \((\sqrt{n})^2 = n\). Simplifying the right side, \(4^2 = 16\). So \(n = 16\).

Answer:

The value of \(n\) is 16, so the correct option is the one with 16 (the last circle with 16).