To use radical notation to rewrite the expression [tex]\( 4^{1/2} \)[/tex], recall that raising a number to the power of [tex]\( \frac{1}{2} \)[/tex] is the same as taking the square root of that number. Therefore, the expression [tex]\( 4^{1/2} \)[/tex] can be rewritten using the square root symbol.
So, we have:
[tex]\[
4^{1/2} = \sqrt{4}
\][/tex]
Next, we simplify the square root of 4. The square root of 4 is the number which, when multiplied by itself, gives 4. In this case, the square root of 4 is 2 because:
[tex]\[
2 \times 2 = 4
\][/tex]
Thus, we have:
[tex]\[
\sqrt{4} = 2
\][/tex]
So, the simplified form of [tex]\( 4^{1/2} \)[/tex] is:
[tex]\[
4^{1/2} = 2
\][/tex]
Therefore, the correct choice is:
A. [tex]\( 4^{1/2} = 2 \)[/tex]
