1. The problem asks for the reciprocal (مقلوب) of the number inside the image, which is $\sqrt{3} - 2$.
2. The reciprocal of a number $x$ is $\frac{1}{x}$.
3. So, we want to find $\frac{1}{\sqrt{3} - 2}$.
4. To simplify this expression, we rationalize the denominator by multiplying numerator and denominator by the conjugate of the denominator, which is $\sqrt{3} + 2$.
5. This gives:
$$\frac{1}{\sqrt{3} - 2} \times \frac{\sqrt{3} + 2}{\sqrt{3} + 2} = \frac{\sqrt{3} + 2}{(\sqrt{3} - 2)(\sqrt{3} + 2)}$$
6. Using the difference of squares formula, $(a - b)(a + b) = a^2 - b^2$, the denominator becomes:
$$ (\sqrt{3})^2 - (2)^2 = 3 - 4 = -1 $$
7. So the expression simplifies to:
$$ \frac{\sqrt{3} + 2}{-1} = -\sqrt{3} - 2 $$
8. Therefore, the reciprocal of $\sqrt{3} - 2$ is $-\sqrt{3} - 2$.
Reciprocal Expression
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