<s>[INST] What is wrong with this proof of: $2+2 = 5$ I have seen this image and surprised that we can prove $2 + 2 = 5$. can any one tell me what is wrong with this image.

Prove that, $2+2=5$.
We know that, $2+2=4$
$$\begin{align}\Rightarrow2+2&=4-\dfrac92+\dfrac92\\\,\\
&=\sqrt{\left(4-\dfrac92\right)^2}+\dfrac92\\
&=\sqrt{16-2\cdot4\cdot\dfrac92+\left(\dfrac92\right)^2}+\dfrac92\\
&=\sqrt{-20+\left(\dfrac92\right)^2}+\dfrac92\\
&=\sqrt{(5)^2-2\cdot5\cdot\dfrac92+\left(\dfrac92\right)^2}+\dfrac92\qquad\qquad\qquad\\
&=\sqrt{\left(5-\dfrac92\right)^2}+\dfrac92\\
&=5-\dfrac92+\dfrac92\\
&=5\\\,\\&\therefore\,2+2=5\text{ (Proved)}\\
\end{align}$$

 [/INST] No,its not possible
your second step is wrong 
$4-4.5$ is negative number
So $\sqrt{(4-4.5)^2}$ is not possible
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