After rationalizing the denominator of $\frac{7}{3 \sqrt{3}-2 \sqrt{2}},$ we get the denominator as

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

The decimal expansion of $-\frac{11}{4}$ is..........

Express $0 . \overline{83}$ in the form $\frac{p}{q} ;$ where $p$ and $q$ are integers and $q \neq 0$.

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

The rationalising factor of $4-\sqrt{5}$ is...........

If $\sqrt{2}=1.4142,$ then evaluate $\sqrt{5} \div \sqrt{10}$ correct to four decimal places.

The value of $\frac{\sqrt{32}+\sqrt{48}}{\sqrt{8}+\sqrt{12}}$ is equal to