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[tex]

\[

\begin{array}{l}

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

\left( {\sqrt {3 + x} } \right)^2 + \left( {\sqrt {2 - x} } \right)^2 = 3^2 \\

3 + x + 2 - x = 9 \\

5 = 9 \\

\end{array}

\]

[/tex]

Obviously something isn't right here, and I know that if I isolate one of the square roots on the other side, then it all works out. But why doesn't this way work?!