Question : If $m=\sqrt{5+\sqrt{5+\sqrt{5+........}}}$ and $n=\sqrt{5-\sqrt{5-\sqrt{5...........}}}$ then among the following, the relation between m and n is:

Question : If $m+n=1$, then the value of $m^{3}+n^{3}+3mn$ is equal to:

Question : If $m x^m-n x^n=0$, then what is the value of $\frac{1}{x^m+x^n}+\frac{1}{x^m-x^n}$ terms of $x^n$ is: Where $x,m,n$ are $>0$

Question : If $m$ and $n$ are two positive real numbers such that $9 m^2+n^2=40$ and $mn = 4$, then the value of $3m + n$ is:

Question : If $x^2+4y^2=17$ and $xy = 2$, where $x > 0, y > 0$, then what is the value of $x^3+8y^3$?