Question

Упростите выражение:

Answer 1

$\sqrt{ {( \sqrt{2} - 1) }^{2} } = {( \sqrt{( \sqrt{2} - 1)} )}^{2} = \\ = \sqrt{2} - 1$
$\sqrt{ {( 1 - \sqrt{3} ) }^{2} } = {( \sqrt{( 1 - \sqrt{3} )} )}^{2} = \\ = 1 - \sqrt{3}$
$\sqrt{ {( \sqrt{11} - \sqrt{10} ) }^{2} } = {( \sqrt{( \sqrt{11} - \sqrt{10} )} )}^{2} = \\ = \sqrt{11} - \sqrt{10}$
$\sqrt{ {( \sqrt{5} - \sqrt{8} ) }^{2} } = {( \sqrt{( \sqrt{5} - \sqrt{8} )} )}^{2} = \\ = \sqrt{5} - \sqrt{8}$