Question

which of these numbers are solutions of $n^2 = 16$? choose two correct answers. $-32$ $-8$ $-4$ $4$ $8$ $32$

Explanation:

Step1: Solve the equation \(n^2 = 16\)

To find the solutions, we take the square root of both sides. Remember that \(\sqrt{x^2}=\pm x\), so for \(n^2 = 16\), we have \(n=\pm\sqrt{16}\).

Step2: Calculate \(\sqrt{16}\)

We know that \(4\times4 = 16\) and \((- 4)\times(-4)=16\), so \(\sqrt{16} = 4\) and \(-\sqrt{16}=-4\). So the solutions are \(n = 4\) and \(n=-4\).

Answer:

-4, 4