Answer
$5$$\frac{2}{3}$$\gt\sqrt 29$
Work Step by Step
To determine the inequality, it is easiest to turn both into decimals so that you are able to easily compare.
$5$$\frac{2}{3}=5.66$
$\sqrt 29=5.39$
Since $5.66$ is larger than $5.39$, we can conclude:
$5$$\frac{2}{3}\gt\sqrt 29$.