# radicals

## 01 - Solution to Radical Equations

Solve for $x$ from the following equations

- $\sqrt{3 - x} + \sqrt{4 - 2x} = \sqrt{3 - 3x}$

- $\sqrt{\dfrac{2x + 4}{x - 5}} + 8\sqrt{\dfrac{x - 5}{2x + 4}} = 6$

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## Example 03 | The General Power Formula

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## Example 02 | The General Power Formula

**Problem**

Evaluate $\displaystyle \int \sqrt{ax + b} ~ dx$.

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## Example 01 | The General Power Formula

**Problem**

Evaluate $\displaystyle \int \left( \sqrt{x} + x\sqrt{x} + \dfrac{1}{\sqrt{x}} \right) \, dx$

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