An equation that contains a radical expression is called a radical equation. Solving radical equations requires applying the rules of exponents and following some basic algebraic principles. In some cases, it also requires looking out for errors generated by raising unknown quantities to an even power
Solving Radical Equations Follow the following four steps to solve radical equations. 1. Isolate the radical expression.2. Square both sides of the equation: If x = y then x2 = y2.3. Once the radical is removed, solve for the unknown.4. Check all answers. Solve. A) B) C) D) Show/Hide AnswerA) Incorrect. Check your answer. If you substitute into the equation, you get , or . This is not correct. Remember to square both sides and then solve for x. The correct answer is . B) Incorrect. It looks like you squared both sides but ignored the +22 underneath the radical. Remember to include the entire binomial when you square both sides; then solve for x. The correct answer is . C) Correct. Squaring both sides, you find becomes , so and . D) Incorrect. It looks like you only squared the left side of the equation. Remember to square both sides: , which becomes . Now solve for x. The correct answer is .