To rewrite \( 5 - \sqrt{3} \) using a rational exponent, we first identify the square root in terms of a rational exponent. The square root of 3 can be expressed as \( 3^{1/2} \).
Thus, if you specifically need to focus on just \( \sqrt{3} \), it can be written as: \[ \sqrt{3} = 3^{1/2} \]
Now, the expression \( 5 - \sqrt{3} \) remains unchanged in terms of rational exponents beyond recognizing the square root.
However, it seems like you might have meant to ask specifically about rewriting just the square root part for clarification or the rational exponent representation of terms in the response.
If this is indeed the case and you're looking for the right response from your options that reflects a term expressed with a rational exponent, it's likely only the square root that can be written with a rational exponent.
None of the listed options provided seem to directly correspond, but if you consider \( \sqrt{3} \) as part of a broader question about exponents connected to roots, then remembering that:
\[ \sqrt{3} = 3^{1/2} \]
is a significant point.
If you would like to further clarify the original expression you wished to transform or the options themselves, I can assist you better. However, if you specifically meant \( \sqrt{3} \) and aligning it with the choices, the closest representation as a rational exponent is:
- \( 3^{1/2} \)
This transformation does not appear directly in your choices, so please ensure the context or choices match your needs.
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