Questions: 3x^2 - 48 = 0

Solve the equation \( 3x^{2} - 48 = 0 \) by taking square roots.

Isolate the \( x^{2} \) term.

Add 48 to both sides of the equation:
\[ 3x^{2} - 48 + 48 = 0 + 48
\]
Simplify:
\[ 3x^{2} = 48
\]

Solve for \( x^{2} \).

Divide both sides by 3:
\[ x^{2} = \frac{48}{3}
\]
Simplify:
\[ x^{2} = 16
\]

Take the square root of both sides.

Take the square root of both sides:
\[ x = \pm \sqrt{16}
\]
Simplify:
\[ x = \pm 4
\]

\\(\boxed{x = \pm 4}\\)

The solution to the equation \( 3x^{2} - 48 = 0 \) is \\(\boxed{x = \pm 4}\\).
The answer is a.