Jake runs 76–√ miles on Monday and 56–√ miles on Tuesday. What is the difference in miles run each day?(1 point)

To find the difference in miles run each day, we need to calculate the absolute difference between the two distances Jake ran:

Jake runs \( \sqrt{76} \) miles on Monday and \( \sqrt{56} \) miles on Tuesday.

The difference is given by:

\[
\left| \sqrt{76} - \sqrt{56} \right|
\]

To compute this value, we can simplify \( \sqrt{76} \) and \( \sqrt{56} \):

1. **Simplifying \( \sqrt{76} \)**:
\[
\sqrt{76} = \sqrt{4 \times 19} = \sqrt{4}\sqrt{19} = 2\sqrt{19}
\]

2. **Simplifying \( \sqrt{56} \)**:
\[
\sqrt{56} = \sqrt{4 \times 14} = \sqrt{4}\sqrt{14} = 2\sqrt{14}
\]

Now substituting back, the difference is:

\[
\left| 2\sqrt{19} - 2\sqrt{14} \right| = 2 \left| \sqrt{19} - \sqrt{14} \right|
\]

Since \( \sqrt{19} > \sqrt{14} \), we can remove the absolute value:

\[
2(\sqrt{19} - \sqrt{14})
\]

This result does not directly match any of the options you've given. However, if you were looking for just the expression \( \sqrt{76} - \sqrt{56} \), we would have \( 2(\sqrt{19} - \sqrt{14}) \).

Since it looks like we're asked for a numerical difference, approximating the square roots:

- \( \sqrt{76} \approx 8.717 \)
- \( \sqrt{56} \approx 7.483 \)

Thus,

\[
\sqrt{76} - \sqrt{56} \approx 8.717 - 7.483 \approx 1.234
\]

None of your options seem to match the calculations strictly either.

Please clarify if you want to stick to the algebraic expression or adapt with numerical approximations.