If $a=\frac{\sqrt{5}}{8}$ and $\frac{8}{a}=b \sqrt{5},$ then find $b$.
Multiply $5 \sqrt{3}$ and $4 \sqrt{12}$.
Insert a rational number and an irrational number between the following:
$2$ and $3$
Simplify the following expressions
$(3+\sqrt{5})(4-\sqrt{11})$
If $x=2+\sqrt{3},$ then find the value of $x^{2}+\frac{1}{x^{2}}$ and $x^{3}+\frac{1}{x^{3}}$