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Radical Expressions and Equations

Combine your skills of working with exponents and manipulating expressions for radical glory.

Level 2

\[\Large \sqrt { -4 } \hspace{.1cm} \sqrt { -9 } = \ ? \]

\[ \large \dfrac{\sqrt{50}+7}{\sqrt{50}-7}+\dfrac{\sqrt{50}-7}{\sqrt{50}+7} = \ ?\]

\[ \Huge \sqrt{\color{red}9^{\color{green}{16} \color{blue}{x^2}}} \]

Which of the following is equal to the above expression?

\[\Large{ \sqrt{3+2\sqrt2} - \sqrt{3-2\sqrt2} = \ ?} \]

Which is greater? \[\Large\sqrt{ \color{red}{8}} - \sqrt{ \color{red}{7}} \ \ \ \ \ \text{OR} \ \ \ \ \ \sqrt{ \color{blue}{6}} - \sqrt{ \color{blue}{5}}\]

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