# High School Math : Radicals

## Example Questions

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### Example Question #85 : Algebra Ii

No real solutions

Explanation:

Begin by squaring both sides of the equation:

Now, combine like terms:

Factor the equation:

However, when plugging in the values,  does not work. Therefore, there is only one solution:

### Example Question #86 : Algebra Ii

Explanation:

Begin by squaring both sides of the equation:

Now, combine like terms and simplify:

Once again, take the square of both sides of the equation:

Solve the linear equation:

### Example Question #1 : Solving Radical Equations And Inequalities

Explanation:

Begin by taking the square of both sides:

Combine like terms:

Factor the equation and solve:

However, when plugging in the values,  does not work. Therefore, there is only one solution:

### Example Question #2 : Solving Radical Equations And Inequalities

Explanation:

To solve the radical expression, begin by subtracting  from each side of the equation:

Now, square both sides of the equation:

Combine like terms:

Factor the expression and solve:

However, when plugged into the original equation,  does not work because the radical cannot be negative. Therefore, there is only one solution:

### Example Question #3 : Solving Radical Equations And Inequalities

Solve the equation for .

Explanation:

Square both sides.

Isolate .

Solve for :