Examine, whether the following number is rational or irrational:

$7.478478...$

Examine, whether the following number is rational or irrational:

$1.101001000100001...$

Identify the following as rational or irrational number. Give its decimal representation. 

$\sqrt{4}$

Identify the following as rational or irrational number. Give its decimal representation. 

$3\sqrt{18}$

Identify the following as rational or irrational number. Give its decimal representation. 

$\sqrt{1.44}$

Identify the following as rational or irrational number. Give its decimal representation. 

$\sqrt{\frac{9}{27}}$

Identify the following as rational or irrational number. Give its decimal representation. 

$-\sqrt{64}$

Identify the following as rational or irrational number. Give its decimal representation. 

$\sqrt{100}$

In the following equation, find whether the variable represent rational or irrational number:

$x^2=5$