To simplify the expression \( 8\sqrt{22} - \sqrt{23} \), we can determine if there's a way to combine or further simplify the terms. However, since \( \sqrt{22} \) and \( \sqrt{23} \) are irrational numbers and don't share a common factor that can be factored out, this expression is already in its simplest form.
So, the simplified expression remains:
\[ 8\sqrt{22} - \sqrt{23} \]
If you need a decimal approximation, you could calculate:
\[ \sqrt{22} \approx 4.690 \quad \text{and} \quad \sqrt{23} \approx 4.796 \]
Then substituting back:
\[ 8\sqrt{22} \approx 8 \times 4.690 \approx 37.52 \] \[ 8\sqrt{22} - \sqrt{23} \approx 37.52 - 4.796 \approx 32.724 \]
But unless specified, the expression \( 8\sqrt{22} - \sqrt{23} \) remains the final answer in exact form.