The image shows a mathematical expression that needs to be calculated. The expression is:

$\sqrt{\log_2(\log_{0.5} 4)}$

Step-by-step solution:

1. Evaluate $\log_{0.5} 4$: $\log_{0.5} 4 = \frac{\log 4}{\log 0.5}$ Since $4 = 2^2$, we can write: $\log_{0.5} 4 = \frac{2}{\log 0.5}$ We know that $\log 0.5 = -1$ (since $0.5 = 2^{-1}$), so: $\log_{0.5} 4 = \frac{2}{-1} = -2$

2. **Evaluate (\log_2(-2