To rewrite \( 5 - \sqrt{3} \) using a rational exponent, you need to focus on the square root part. The square root can be expressed as a rational exponent of \( \frac{1}{2} \).
The expression \( \sqrt{3} \) can be written as \( 3^{\frac{1}{2}} \).
However, since you want the expression \( 5 - \sqrt{3} \), you would write it as:
\( 5 - 3^{\frac{1}{2}} \).
None of the multiple-choice responses you provided directly reflect this expression, but if we strictly consider the rational exponent part related to \( \sqrt{3} \), it would be:
\( 3^{\frac{1}{2}} \).
Since the options do not directly include our rewritten expression, the most relevant to the use of a rational exponent would be:
5 superscript Start Fraction 1 over 3 End Fraction baseline
However, remember that \( 5 - \sqrt{3} \) is not represented correctly by any provided option in the context of maintaining both parts of the original expression. Please clarify the question if a different form is needed.
33 answers