Expand menu menu_open Minimize Start chapters Home History history History expand_more
{{ item.displayTitle }}
No history yet!
Progress & Statistics equalizer Progress expand_more
{{ filterOption.label }}
{{ item.displayTitle }}
{{ item.subject.displayTitle }}
No results
{{ searchError }}
{{ courseTrack.displayTitle }}
{{ statistics.percent }}% Sign in to view progress
{{ printedBook.courseTrack.name }} {{ printedBook.name }}
search Use offline Tools apps
Login account_circle menu_open

Solving Radical Equations

Solving Radical Equations 1.14 - Solution

arrow_back Return to Solving Radical Equations

Solving a radical equation usually involves three main steps.

  1. Isolate the radical on one side of the equation.
  2. Raise each side of the equation to a power equal to the index of the radical to eliminate the radical.
  3. Solve the resulting equation.
  4. Check the results for extraneous solutions.
Now we can analyze the given radical equation. First, let's isolate the radical, on one side of the equation.
We get an isolated radical with index equal to Then, we will raise each side of the equation to the power of
Solve for
Next, we will check for extraneous solutions. We do that by substituting for into the original equation. If the substitution produces a true statement, we know that our answer is correct. If it does not, then it is an extraneous solution.
Because our substitution produced a true statement we know that our answer, is correct.