2. \( \sqrt{8^{4}} \)

To simplify \( \sqrt{8^4} \), first recognize that \( 8^4 = (2^3)^4 \). Using the power of a power property, we can rewrite this as \( 2^{12} \). Then, taking the square root gives us \( \sqrt{2^{12}} = 2^{12/2} = 2^6 = 64 \). So, \( \sqrt{8^4} = 64 \). Do you want to explore some fun numerical tricks or maybe delve into how these concepts apply in everyday life?