Radical Equations Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Solve x=7\sqrt{x} = 7.

Solution

  1. 1
    Square both sides: x=49x = 49.
  2. 2
    Check: 49=7\sqrt{49} = 7 ✓

Answer

x=49x = 49
The simplest type of radical equation — square both sides to eliminate the radical. The check confirms no extraneous solutions were introduced.

About Radical Equations

Equations with a variable under a radical sign, solved by isolating the radical, squaring both sides, and checking for extraneous solutions.

Learn more about Radical Equations →

More Radical Equations Examples

Example 1 easy

Solve [formula].

Example 2 hard

Solve [formula].

Example 4 medium

Solve [formula].

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