Which expression simplifies to 65–√3 ?(1 point) Responses −540−−√3−5–√3 negative 5 cube root of 40 minus cube root of 5 440−−√3−25–√3 4 cube root of 40 minus 2 cube root of 5 23–√3−42–√3 2 cube root of 3 minus 4 cube root of 2 340−−√3+35–√3

Answer 1

To find which expression simplifies to \( 65 - \sqrt{3} \), we can simplify each of the provided options one by one.

1. Option 1: \( -\sqrt{540} - 5\sqrt{3} \)
   This does not seem to simplify to \( 65 - \sqrt{3} \).

2. Option 2: \( 440 - \sqrt{3} - 25\sqrt{3} \)
   Simplifying gives: \( 440 - 26\sqrt{3} \) which is not equal to \( 65 - \sqrt{3} \).

3. Option 3: \( 4\sqrt[3]{40} - 2\sqrt[3]{5} \)
   This combination does not offer a typical form that leads to \( 65 - \sqrt{3} \).

4. Option 4: \( 2\sqrt{3} - 4\sqrt{2} \)
   Clearly, this does not equate to \( 65 - \sqrt{3} \).

5. Option 5: \( 3\sqrt{40} + 35\sqrt{3} \)
   Neither does this match the original expression given.

None of these options directly simplify to \( 65 - \sqrt{3} \). It may be beneficial to re-evaluate the provided expressions for any potential oversight or look at if there were simpler interpretations for anything involving the constants and roots provided. However, if strictly analyzing, it looks as if none produces the desired result.

If you're looking for just an option similar to the original expression given or closest, please verify or provide further context on the choices presented.