To solve the radical expression [tex]\( \sqrt{16} \cdot \sqrt{4} \)[/tex], let's break it down into smaller, manageable steps:
1. Calculate [tex]\( \sqrt{16} \)[/tex]:
- We need to determine the square root of 16.
- The square root of 16 is 4, since [tex]\( 4 \times 4 = 16 \)[/tex].
2. Calculate [tex]\( \sqrt{4} \)[/tex]:
- Next, we find the square root of 4.
- The square root of 4 is 2, since [tex]\( 2 \times 2 = 4 \)[/tex].
3. Multiply the results:
- Now that we have [tex]\( \sqrt{16} = 4 \)[/tex] and [tex]\( \sqrt{4} = 2 \)[/tex], we multiply these two numbers together.
- [tex]\( 4 \cdot 2 = 8 \)[/tex].
Therefore, the value of the radical expression [tex]\( \sqrt{16} \cdot \sqrt{4} \)[/tex] is 8.
The correct answer is:
A. 8