Answer
$x = 4$
Work Step by Step
$\sqrt{3x+4} = 4$
Square both sides to remove the square root.
$3x+4 = 16$
Subtract $4$ from both sides.
$3x = 12$
Divide both sides by $3$.
$x = 4$
Check the answer for extraneous solutions. Does the answer make the original statement true?
$\sqrt{3(4)+4} = 4$
$\sqrt{12+4} = 4$
$\sqrt{16} = 4$
$4= 4$
Since the original statement is true, we can conclude that $x = 4$.
