Radicals & Absolute Values Practice Test

Solve the equation $\sqrt{2x-1}+1=5$. Be careful not to divide the radical incorrectly; isolate the radical first, then square both sides, and confirm the solution satisfies the original equation.

Which expression is equivalent to $\sqrt{12x^2y^3}$ for $x\ge 0$ and $y\ge 0$? Make sure your answer has no perfect-square factors left under the radical; a common error is forgetting that $\sqrt{x^2}=x$ only because $x\ge 0$ is given.