The number of digits in the decimal expansion of $16^5 \times 5^{16}$ is

Evaluate: $\frac{\sqrt{2}}{\sqrt{2 + \sqrt{3}} - \sqrt{2 - \sqrt{3}}}$

$\frac{12}{3 + \sqrt{5} - 2\sqrt{2}} = $

If $x = 3 - \sqrt{5}$,then $\frac{\sqrt{x}}{\sqrt{2} + \sqrt{3x - 2}} = $

Which of the following statements are true and which are false? In each case,give a valid reason for your answer.
$t: \sqrt{11}$ is a rational number.

Evaluate: $\sqrt{3 + \sqrt{5}} - \sqrt{2 + \sqrt{3}}$