Problem

Solve the equation \(x^{2}=16\) using the square root property.

Answer

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Answer

The square root of \(16\) is \(4\), so the solutions to the equation are \(x = 4\) or \(x = -4\).

Steps

Step 1 ：The square root property states that if \(x^{2} = a\), then \(x\) is equal to \(\sqrt{a}\) or \(-\sqrt{a}\).

Step 2 ：Applying square root property to the given equation \(x^{2}=16\), we get \(x\) equal to \(\sqrt{16}\) or \(-\sqrt{16}\).

Step 3 ：The square root of \(16\) is \(4\), so the solutions to the equation are \(x = 4\) or \(x = -4\).

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