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

$(729)^{\frac{1}{3}}=\ldots \ldots$

Simplify

$\frac{11^{\frac{1}{3}}}{11^{\frac{1}{5}}}$

For each question, select the proper option from four options given, to make the statement true : (Final answer only)

$.............$ is a rational number between $7$ and $8 .$

$\sqrt{10} \times \sqrt{15}$ is equal to

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

$0.888 \ldots$

If $\sqrt{2}=1.4142,$ then $\sqrt{\frac{\sqrt{2}-1}{\sqrt{2}+1}}$ is equal to