To rewrite \( 5 - \sqrt{3} \) using a rational exponent, we need to focus specifically on the term \( \sqrt{3} \).
The square root of 3 can be expressed with a rational exponent as: \[ \sqrt{3} = 3^{1/2} \]
Therefore, \( 5 - \sqrt{3} \) can be rewritten as: \[ 5 - 3^{1/2} \]
However, if the question is specifically about how to express \( \sqrt{3} \) with a rational exponent (regardless of the entire expression), we would denote it as \( 3^{1/2} \).
Among the provided options, the one that expresses \( 5^{\text{something}} \) with a rational exponent doesn't actually apply here because \( 5 \) is not related to \( \sqrt{3} \) in terms of manipulation.
If you are looking for an expression that includes the square root in a simplified rational exponent form:
- The correct representation of \( \sqrt{3} \) is \( 3^{1/2} \).
There is no option that directly corresponds to \( 5 - \sqrt{3} \) being rewritten accurately without further context.
Please clarify if you need something else!