Simplify:
$\frac{8^{\frac{1}{3}} \times 16^{\frac{1}{3}}}{32^{-\frac{1}{3}}}$
Write the number in short : $3.8232323 \ldots$
State whether the following statements are true or false? Justify your answer.
$(i)$ $\frac{\sqrt{2}}{3}$ is a rational number.
$(ii)$ There are infinitely many integers between any two integers.
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$\left(5^{\frac{3}{4}}\right)^{\frac{4}{3}}=\ldots \ldots \ldots$
For each question, select the proper option from four options given, to make the statement true : (Final answer only)
$(\sqrt{5}+\sqrt{3})(\sqrt{5}-\sqrt{3})=\ldots \ldots \ldots$
Find three rational numbers between $\frac{2}{3}$ and $\frac{4}{5}$.