How to Solve Radical Equations

Video Tutorial and practice problems

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Radical Equations Worksheet 27 question pdf with answer key

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Problem 1) Solve the radical Equation Below :

Answer

Follow the steps for solving radical equations

1) Isolate the radical
2)Square both sides
3) Solve expression	x=10
4) Substitute answer into original radical equation to verify that the answer is a real number

Problem 2) Solve the radical Equation Below :

Answer

Remember how to solve radical equations

1) Isolate the radical
2)Square both sides
3) Solve the equation	3x = 23 x=23/3
4) Substitute answer into original radical equation to verify that the answer is a real number

Problem 3) Solve the following radical equation :

Answer

Remember how to solve radical equations

1) Isolate the radical
2)Square both sides
3) Solve the equation	This quadratic equation can be solved by factoring 0 =(x -4)(x-5) x =4 , x = 5
4) Substitute answer into original radical equation to verify that the answer is a real number	As you can see we only have one solution to this equation, x= 4. x = 5 is not a real solution.