Question

3square root 91(5 + 8square root 7)

Answer 1

To simplify the expression \( 3\sqrt{91}(5 + 8\sqrt{7}) \), we can distribute \( 3\sqrt{91} \) across the terms inside the parentheses:

1. **Distributing**:
\[
3\sqrt{91} \cdot 5 + 3\sqrt{91} \cdot 8\sqrt{7}
\]

2. **Calculating each term**:
- For the first term:
\[
3\sqrt{91} \cdot 5 = 15\sqrt{91}
\]
- For the second term:
\[
3\sqrt{91} \cdot 8\sqrt{7} = 24\sqrt{91 \cdot 7} = 24\sqrt{637}
\]

3. **Combining the terms**:
Thus, the expression simplifies to:
\[
15\sqrt{91} + 24\sqrt{637}
\]

So, the final result is:
\[
\boxed{15\sqrt{91} + 24\sqrt{637}}
\]