Radical Equations Math Example 1

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

Example 1

easy
Solve x+3=5\sqrt{x + 3} = 5.

Solution

  1. 1
    Step 1: Square both sides: x+3=25x + 3 = 25.
  2. 2
    Step 2: Subtract 3: x=22x = 22.
  3. 3
    Step 3: Check: 22+3=25=5\sqrt{22 + 3} = \sqrt{25} = 5 ✓

Answer

x=22x = 22
To solve a radical equation, isolate the radical then square both sides. Always check the solution because squaring can introduce extraneous solutions.

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 2 hard

Solve [formula].

Example 3 easy

Solve [formula].

Example 4 medium

Solve [formula].

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