State whether the following statement is true:
There is a number $x$ such that $x^{2}$ is irrational but $x^{4}$ is rational. Justify your answer by an example.
Fill in the blanks so as to make each of the following statements true (Final answer only)
$\sqrt{1 \frac{25}{144}}=\ldots \ldots$
Convert following rational numbers in decimal form and state the kind of its decimal expansion
$\frac{71}{125}$
Simplify $: 5 \sqrt{2}+2 \sqrt{8}-3 \sqrt{32}+4 \sqrt{128}$
Fill in the blanks so as to make each of the following statements true (Final answer only)
$\sqrt{2} \cdot \sqrt{3} \cdot \sqrt{6}=\ldots \ldots .$