Sure, let's go through the steps to address the problem of rewriting and simplifying the given radical expression:
Given expression:
[tex]\[ 25^{1/2} \][/tex]
1. Rewrite the radical notation:
The expression [tex]\( 25^{1/2} \)[/tex] can be rewritten using radical notation. The exponent [tex]\( \frac{1}{2} \)[/tex] signifies the square root. Therefore,
[tex]\[ 25^{1/2} = \sqrt{25} \][/tex]
2. Simplify the radical expression:
Next, we need to simplify [tex]\( \sqrt{25} \)[/tex]. We know that the square root of 25 is 5 since
[tex]\[ 5 \times 5 = 25 \][/tex]
Therefore,
[tex]\[ \sqrt{25} = 5 \][/tex]
So, the correct and simplified form of the expression [tex]\( 25^{1/2} \)[/tex] is:
[tex]\[ 25^{1/2} = 5 \][/tex]
Thus, the correct choice is:
A. [tex]\[ 25^{1/2} = 5 \][/tex]
This concludes that the answer is not only real but also simplifies neatly to a single value, which is 5.
