The decimal expansion of the number $\sqrt{2}$ is

Insert a rational number and an irrational number between the following:
$0.15$ and $0.16$

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

Simplify the following:
$(\sqrt{3}-\sqrt{2})^{2}$

Find the value of the following expression correct to three decimal places,rationalizing the denominator if needed. Given $\sqrt{2} = 1.414$,$\sqrt{3} = 1.732$,and $\sqrt{5} = 2.236$.
$\frac{1}{\sqrt{3} + \sqrt{2}}$

Write the following in decimal form and state what kind of decimal expansion each has:
$\frac{121}{400}$