Solve the equation by finding square roots. 3a^2+12=0 Select the correct choice below and, if necessary,fill in the answer box to complete your choice. A. a=square (Simplify your answer. Use a comma to separate answers as needed.) Help me solve this View an example

## Step 1<br />The given equation is \(3a^{2} + 12 = 0\). To solve this equation, we first isolate the term with the variable \(a\). We do this by subtracting 12 from both sides of the equation.<br />### \(3a^{2} = -12\)<br />## Step 2<br />Next, we divide both sides of the equation by 3 to solve for \(a^{2}\).<br />### \(a^{2} = -4\)<br />## Step 3<br />The square root of a negative number is not a real number, but it can be expressed as a complex number. The square root of -1 is represented by the imaginary unit \(i\). Therefore, the square root of -4 is \(2i\) and \(-2i\).<br />### \(a = \sqrt{-4} = 2i, -2i\)