# How do you rationalize the denominator and simplify (5 sqrt (11)) / sqrt (7)?

Multiply the numerator and denominator times $\frac{\sqrt{7}}{\sqrt{7}}$.
$\frac{5 \sqrt{11}}{\sqrt{7}} \cdot \frac{\sqrt{7}}{\sqrt{7}}$ =
$\frac{5 \sqrt{11} \cdot \sqrt{7}}{7}$ =
$\frac{5 \sqrt{77}}{7}$