What is 440−−√3+34–√3+532−−√3

Question

?(1 point)
Responses

85–√3+26
8 cube root of 5 plus 26

85–√3+74–√3
8 cube root of 5 plus 7 cube root of 4

810−−√3+6+202–√3
8 cube root of 10 plus 6 plus 20 cube root of 2

85–√3+134–√3

Answer 1

To simplify the expression \( 440 - \sqrt{3} + 34 - \sqrt{3} + 532 - \sqrt{3} \):

1. Combine the constants: \( 440 + 34 + 532 = 1006 \)

2. Combine the \(-\sqrt{3}\) terms: \(-\sqrt{3} - \sqrt{3} - \sqrt{3} = -3\sqrt{3}\)

Putting it all together:

\[ 1006 - 3\sqrt{3} \]

None of the provided responses seem to match the simplified expression directly, but the closest match is:

\( 85 - \sqrt{3} + 134 - \sqrt{3} \).

However, none of the options provided seem to equal \( 1006 - 3\sqrt{3} \). If you require more specific clarification or details, please let me know!