Rationalise the denominator of the following:

$\frac{16}{\sqrt{41}-5}$

Simplify:

$(\frac{3}{5})^4 + (\frac{8}{5})^{-12} + (\frac{32}{5})^{6}$

Write the following in decimal form and state what kind of decimal expansion each has

$\frac{121}{400}$

Rationalise the denominator of the following:

$\frac{\sqrt{3}+\sqrt{2}}{\sqrt{3}-\sqrt{2}}$

If $\sqrt{5}=2.236,$ then evaluate $\frac{4-\sqrt{5}}{\sqrt{5}}$ correct to four decimal places.

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

The decimal expansion of $\frac{47}{50}$ is of $\ldots \ldots \ldots$ type.