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What is the value of the radical expression shown below?

[tex] \sqrt{16} \cdot \sqrt{4} [/tex]

A. 8
B. 6
C. 4
D. 64

Sagot :

GinnyAnswer
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
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