Practice Radical Equations in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Equations with a variable under a radical sign, solved by isolating the radical, squaring both sides, and checking for extraneous solutions.
A radical 'traps' the variable inside a square root. To free it, isolate the radical on one side, then square both sides to undo the square root. But squaring can introduce fake solutions (extraneous solutions) that do not actually satisfy the original equation, so you MUST check every answer.
Showing a random 20 of 50 problems.
Example 1
hardSolve .
Example 2
challengeSolve .
Example 3
mediumSolve .
Example 4
hardSolve .
Example 5
mediumSolve .
Example 6
challengeSolve for the valid root.
Example 7
mediumSolve .
Example 8
hardSolve .
Example 9
mediumSolve .
Example 10
hardWhen is an extraneous solution possible in a radical equation?
Example 11
mediumSolve .
Example 12
mediumSolve .
Example 13
easySolve .
Example 14
easySolve .
Example 15
challengeSolve .
Example 16
mediumSolve .
Example 17
challengeSolve .
Example 18
mediumSolve .
Example 19
easySolve .
Example 20
easySolve .