Question

ajutor! dau coroana ​

Answer 1

$a. \: \: \sqrt{(3 - \sqrt{5}) {}^{2} } + \sqrt{(1 - \sqrt{5}) {}^{2} } \\ = 3 - \sqrt{5} + \sqrt{5} - 1\\ = 2 \\ \\ \\ b. \: \: \sqrt{(4 - \sqrt{7} ) {}^{2} } + \sqrt{( \sqrt{7} - 2 ) {}^{2} } \\ = 4 - \sqrt{7} + \sqrt{7} - 2 \\ = 2 \\ \\ \\ c. \: \: \sqrt{(5 - 2 \sqrt{6} ) { }^{2} } + \sqrt{(3 \sqrt{6} - 7) {}^{2} } - \sqrt{( \sqrt{6} + 4) {}^{2} } \\ = 5 - 2 \sqrt{6} + 3 \sqrt{6} - 7 - \sqrt{6} - 4 \\ = 5 - 7 - 4 \\ = - 6 \\ \\ \\ d. \: \: \sqrt{( \sqrt{8} - 3) {}^{2} } + \sqrt{(4 - \sqrt{18} ) {}^{2} } + \sqrt{(11 - \sqrt{2} ) {}^{2} } \\ = - 2 \sqrt{2} + 3 + 3 \sqrt{2} - 4 + 11 - \sqrt{2} \\ = 3 - 4 + 11 \\ = 10$