Question

subtract \(8\sqrt{23} - \sqrt{23}\)

Answer 1

jake runs 7 square root 6 miles on monday and 5 squareroot miles on tuesday. what is the difference in miles run each day?

Answer 2

To subtract \(8\sqrt{23} - \sqrt{23}\), you can combine the two terms that involve \(\sqrt{23}\).

Here's the calculation:

\[
8\sqrt{23} - \sqrt{23} = (8 - 1)\sqrt{23} = 7\sqrt{23}
\]

So, the result is:

\[
7\sqrt{23}
\]

Answer 3

To find the difference in miles that Jake ran on Monday and Tuesday, we subtract the distance he ran on Tuesday from the distance he ran on Monday.

Jake ran:
- \(7\sqrt{6}\) miles on Monday
- \(5\sqrt{6}\) miles on Tuesday

Now, we calculate the difference:

\[
7\sqrt{6} - 5\sqrt{6} = (7 - 5)\sqrt{6} = 2\sqrt{6}
\]

Therefore, the difference in miles run each day is:

\[
2\sqrt{6} \text{ miles}
\]