Express the following in the form $\frac{p}{q},$ where $p$ and $q$ are integers and $q \neq 0$ :

$0.888 \ldots$

Add $4 \sqrt{3}+2 \sqrt{5}$ and $6 \sqrt{3}-4 \sqrt{5}$.

Fill in the blanks so as to make each of the following statements true (Final answer only)

The decimal expansion of $\frac{2}{3}$ is of $\ldots \ldots .$ type.

Find five rational numbers between $-\frac{2}{3}$ and $\frac{1}{5}$.

Simplify $: 5 \sqrt{2}+2 \sqrt{8}-3 \sqrt{32}+4 \sqrt{128}$

Find the value of $b$ :

$\frac{\sqrt{2}+\sqrt{3}}{3 \sqrt{2}-2 \sqrt{3}}=2-b \sqrt{6}$