# How do you rationalize the denominator and simplify sqrt35 /sqrt55?

e.g. $\sqrt{8}$ x $\sqrt{8}$ = 8
$\sqrt{3}$ x $\sqrt{3}$ = 3
$\sqrt{5}$x$\sqrt{5}$=5
$\frac{\sqrt{35}}{\sqrt{55}}$ x $\frac{\sqrt{55}}{\sqrt{55}}$= ($\sqrt{7}$x$\sqrt{5}$x$\sqrt{5}$xsqrt11)$/ 55$ = $\frac{5 \sqrt{77}}{55}$=$\frac{\sqrt{77}}{11}$