Which expression simplifies to 87–√3

Question

?(1 point)
Responses

256−−√3−47–√3
2 cube root of 56 minus 4 cube root of 7

−67–√3−27–√3
negative 6 cube root of 7 minus 2 cube root of 7

56−−√3+67–√3
cube root of 56 plus 6 cube root of 7

36–√3+51–√3

Answer 1

To simplify the given options to see which one equals \( 87 - \sqrt{3} \), let's analyze each expression:

1. \( \sqrt{256} - 4\sqrt{7} \):

   • \( \sqrt{256} = 16 \)
   • So this simplifies to \( 16 - 4\sqrt{7} \) which is not equivalent to \( 87 - \sqrt{3} \).

2. \( -6\sqrt{7} - 2\sqrt{7} \):

   • Combine like terms: \( -6\sqrt{7} - 2\sqrt{7} = -8\sqrt{7} \), which is also not equivalent to \( 87 - \sqrt{3} \).

3. \( \sqrt{56} + 6\sqrt{7} \):

   • This does not contain a term that would yield \( 87 - \sqrt{3} \).

4. \( 3\sqrt{6} + 51\sqrt{3} \):

   • This expression also does not yield \( 87 - \sqrt{3} \).

None of the given options simplify to \( 87 - \sqrt{3} \). It appears none of the expressions provided match the target expression.

If you're looking for a specific choice based on the options, or if there is a mistake in one of the expressions or their interpretation, please clarify, and I would be happy to assist further!