Rationalise the denominator of the following:
$\frac{16}{\sqrt{41}-5}$

Find three different irrational numbers between the rational numbers $\frac{1}{3}$ and $\frac{7}{9}$.

Fill in the blanks to make the following statement true: The decimal expansion of $\frac{2}{3}$ is of $\ldots \ldots$ type.

Show that $0.142857142857... = 0.\overline{142857} = \frac{1}{7}$.

For each question,select the proper option from four options given,to make the statement true: The decimal expansion of $-\frac{11}{4}$ is..........

If $x=\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$ and $y=\frac{\sqrt{3}-\sqrt{2}}{\sqrt{3}+\sqrt{2}},$ then find the value of $x^{2}+y^{2}$.