Radical Functions: Solving Radical Equations and Inequalities

think icon Think & Click: Solutions to Radical Equations

Now, you try. Complete the Think & Click activity by looking at each problem below, thinking about it, and then clicking on it to reveal the solution.

Is x = 10 a solution to the equation cube root of the quantity nine x plus one equals cube root of the quantity eleven plus eight x?
 

Yes
 

Are x = 9 and x = 2 solutions to the equation x equals square root of the quantity x plus seven, plus five?
 

No, only x = 9 is a solution.
 


Also, let’s review some of the graphing skills you learned in the last section. Click on the two links below to review what happens when the square root and cube root functions are transformed. Manipulate the values of a, c, and d to see what happens to the function. Click on “Click Here To Start” to take you to the interactive activity.

Square Root Functions

Cube Root Functions