Questions: What is the value of the expression below?
(4^(1 / 2))^2
A. 4
B. 12
C. 16
D. 8
Transcript text: What is the value of the expression below?
\[
\left(4^{1 / 2}\right)^{2}
\]
A. 4
B. 12 .
C. 16
D. 8
Solution
Solution Steps
Step 1: Simplify the Inner Expression
The expression is \(\left(4^{1 / 2}\right)^{2}\). First, simplify the inner part \(4^{1 / 2}\). Since \(4^{1 / 2}\) is the square root of 4, we have:
\[
4^{1 / 2} = \sqrt{4} = 2.
\]
Step 2: Raise the Simplified Expression to the Power of 2
Now, raise the result from Step 1 to the power of 2:
\[
\left(4^{1 / 2}\right)^{2} = 2^{2} = 4.
\]
Final Answer
The value of the expression is \(\boxed{4}\). The correct choice is A.