If x + 1 x = 2 x + \frac{1}{x} = 2 x + x 1 ​ = 2 , then find the value of x 2723 + 1 x 3356 . x^{2723} + \frac{1}{x^{3356}}. x 2723 + x 3356 1 ​ .

If $$ (a + b\sqrt{n}) $$ is the positive square root of $$ (29 - 12\sqrt{5}) $$, where $$ a $$ and $...

The sum of all real values of $$ k $$ for which $$ \left(\frac{1}{8}\right)^k\times\left(\frac{1}{...

For any natural number $$ n $$, let $$ a_n $$ be the largest integer not exceeding $$ \sqrt{n} $$. T...

Which of the following is the greatest?...

If $$x = 5 + 2\sqrt{6}$$, find the value of $$\frac{x - 1}{\sqrt{x}}$$. ...

### Question Statement: Find the value of the expression: $$ \sqrt{4 + \sqrt{15}} + \sqrt{4 - \sqr...