# 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: Add to both sides. Square both sides.  Isolate .  ### Example Question #4 : Solving Radical Equations And Inequalities

Solve for :       Explanation:

Begin by cubing both sides:   Now we can easily solve: 1 2 3 5 Next → 