Key ideas For rational equations, multiply by the LCM to clear denominators, but keep domain restrictions. For radical equations, isolate a radical then square; after solving, substitute back to remove extraneous roots. Useful facts: If A=B then A=B2 and we must have B≥0.\text{If }\sqrt{A}=B\text{ then }A=B^2\text{ and we must have }B\ge 0.If A=B then A=B2 and we must have B≥0.