To simplify the expression \( 8\sqrt{23} - \sqrt{23} \), you can combine the like terms.
Both terms involve \( \sqrt{23} \).
- The coefficient of the first term is 8 and the coefficient of the second term is -1.
- Combine the coefficients:
\[ 8 - 1 = 7 \]
- Therefore, the expression simplifies to:
\[ 7\sqrt{23} \]
So, \( 8\sqrt{23} - \sqrt{23} = 7\sqrt{23} \).